Riemannian Foliations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
1988
|
| Series: | Progress in Mathematics
73 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a partition of M into curves, i.e. a foliation of codimension n - 1. More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds [the leaves] of dimension ,--------,- - . - -- p = n - q. The first global image that comes to mind is 1--------;- - - - - - that of a stack of "plaques". 1---------;- - - - - - Viewed laterally [transver 1--------1- - - -- sally], the leaves of such a 1--------1 - - - - -. stacking are the points of a 1--------1--- ----. quotient manifold W of dimension L..... -' _ q. -----~) W M Actually, this image corresponds to an elementary type of foliation, that one says is "simple". For an arbitrary foliation, it is only l- u L ally [on a "simple" open set U] that the foliation appears as a stack of plaques and admits a local quotient manifold. Globally, a leaf L may - - return and cut a simple open set U in several plaques, sometimes even an infinite number of plaques |
| Physical Description: | 1 Online-Ressource (XII, 344 p) |
| ISBN: | 9781468486704 9781468486728 |
| DOI: | 10.1007/978-1-4684-8670-4 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042421151 | ||
| 003 | DE-604 | ||
| 005 | 20170918 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1988 |||| o||u| ||||||eng d | ||
| 020 | |a 9781468486704 |c Online |9 978-1-4684-8670-4 | ||
| 020 | |a 9781468486728 |c Print |9 978-1-4684-8672-8 | ||
| 024 | 7 | |a 10.1007/978-1-4684-8670-4 |2 doi | |
| 035 | |a (OCoLC)1165602619 | ||
| 035 | |a (DE-599)BVBBV042421151 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 516 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Molino, Pierre |d 1935- |e Verfasser |0 (DE-588)172262119 |4 aut | |
| 245 | 1 | 0 | |a Riemannian Foliations |c by Pierre Molino |
| 264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 1988 | |
| 300 | |a 1 Online-Ressource (XII, 344 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Progress in Mathematics |v 73 | |
| 500 | |a Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a partition of M into curves, i.e. a foliation of codimension n - 1. More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds [the leaves] of dimension ,--------,- - . - -- p = n - q. The first global image that comes to mind is 1--------;- - - - - - that of a stack of "plaques". 1---------;- - - - - - Viewed laterally [transver 1--------1- - - -- sally], the leaves of such a 1--------1 - - - - -. stacking are the points of a 1--------1--- ----. quotient manifold W of dimension L..... -' _ q. -----~) W M Actually, this image corresponds to an elementary type of foliation, that one says is "simple". For an arbitrary foliation, it is only l- u L ally [on a "simple" open set U] that the foliation appears as a stack of plaques and admits a local quotient manifold. Globally, a leaf L may - - return and cut a simple open set U in several plaques, sometimes even an infinite number of plaques | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Geometry | |
| 650 | 4 | |a Global differential geometry | |
| 650 | 4 | |a Differential Geometry | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Riemannsche Blätterung |0 (DE-588)4195597-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Riemannscher Raum |0 (DE-588)4128295-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Riemannsche Blätterung |0 (DE-588)4195597-3 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Riemannscher Raum |0 (DE-588)4128295-4 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 830 | 0 | |a Progress in Mathematics |v 73 |w (DE-604)BV000004120 |9 73 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4684-8670-4 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027856568 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804153093895487488 |
|---|---|
| any_adam_object | |
| author | Molino, Pierre 1935- |
| author_GND | (DE-588)172262119 |
| author_facet | Molino, Pierre 1935- |
| author_role | aut |
| author_sort | Molino, Pierre 1935- |
| author_variant | p m pm |
| building | Verbundindex |
| bvnumber | BV042421151 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1165602619 (DE-599)BVBBV042421151 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-8670-4 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03101nmm a2200529zcb4500</leader><controlfield tag="001">BV042421151</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170918 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1988 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781468486704</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4684-8670-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781468486728</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4684-8672-8</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4684-8670-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1165602619</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421151</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Molino, Pierre</subfield><subfield code="d">1935-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172262119</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Riemannian Foliations</subfield><subfield code="c">by Pierre Molino</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Birkhäuser Boston</subfield><subfield code="c">1988</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 344 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Progress in Mathematics</subfield><subfield code="v">73</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a partition of M into curves, i.e. a foliation of codimension n - 1. More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds [the leaves] of dimension ,--------,- - . - -- p = n - q. The first global image that comes to mind is 1--------;- - - - - - that of a stack of "plaques". 1---------;- - - - - - Viewed laterally [transver 1--------1- - - -- sally], the leaves of such a 1--------1 - - - - -. stacking are the points of a 1--------1--- ----. quotient manifold W of dimension L..... -' _ q. -----~) W M Actually, this image corresponds to an elementary type of foliation, that one says is "simple". For an arbitrary foliation, it is only l- u L ally [on a "simple" open set U] that the foliation appears as a stack of plaques and admits a local quotient manifold. Globally, a leaf L may - - return and cut a simple open set U in several plaques, sometimes even an infinite number of plaques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global differential geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential Geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannsche Blätterung</subfield><subfield code="0">(DE-588)4195597-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Riemannsche Blätterung</subfield><subfield code="0">(DE-588)4195597-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Progress in Mathematics</subfield><subfield code="v">73</subfield><subfield code="w">(DE-604)BV000004120</subfield><subfield code="9">73</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4684-8670-4</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027856568</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042421151 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468486704 9781468486728 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856568 |
| oclc_num | 1165602619 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 344 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series | Progress in Mathematics |
| series2 | Progress in Mathematics |
| spelling | Molino, Pierre 1935- Verfasser (DE-588)172262119 aut Riemannian Foliations by Pierre Molino Boston, MA Birkhäuser Boston 1988 1 Online-Ressource (XII, 344 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 73 Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a partition of M into curves, i.e. a foliation of codimension n - 1. More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds [the leaves] of dimension ,--------,- - . - -- p = n - q. The first global image that comes to mind is 1--------;- - - - - - that of a stack of "plaques". 1---------;- - - - - - Viewed laterally [transver 1--------1- - - -- sally], the leaves of such a 1--------1 - - - - -. stacking are the points of a 1--------1--- ----. quotient manifold W of dimension L..... -' _ q. -----~) W M Actually, this image corresponds to an elementary type of foliation, that one says is "simple". For an arbitrary foliation, it is only l- u L ally [on a "simple" open set U] that the foliation appears as a stack of plaques and admits a local quotient manifold. Globally, a leaf L may - - return and cut a simple open set U in several plaques, sometimes even an infinite number of plaques Mathematics Geometry Global differential geometry Differential Geometry Mathematik Riemannsche Blätterung (DE-588)4195597-3 gnd rswk-swf Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Riemannsche Blätterung (DE-588)4195597-3 s 1\p DE-604 Riemannscher Raum (DE-588)4128295-4 s 2\p DE-604 Progress in Mathematics 73 (DE-604)BV000004120 73 https://doi.org/10.1007/978-1-4684-8670-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Molino, Pierre 1935- Riemannian Foliations Progress in Mathematics Mathematics Geometry Global differential geometry Differential Geometry Mathematik Riemannsche Blätterung (DE-588)4195597-3 gnd Riemannscher Raum (DE-588)4128295-4 gnd |
| subject_GND | (DE-588)4195597-3 (DE-588)4128295-4 |
| title | Riemannian Foliations |
| title_auth | Riemannian Foliations |
| title_exact_search | Riemannian Foliations |
| title_full | Riemannian Foliations by Pierre Molino |
| title_fullStr | Riemannian Foliations by Pierre Molino |
| title_full_unstemmed | Riemannian Foliations by Pierre Molino |
| title_short | Riemannian Foliations |
| title_sort | riemannian foliations |
| topic | Mathematics Geometry Global differential geometry Differential Geometry Mathematik Riemannsche Blätterung (DE-588)4195597-3 gnd Riemannscher Raum (DE-588)4128295-4 gnd |
| topic_facet | Mathematics Geometry Global differential geometry Differential Geometry Mathematik Riemannsche Blätterung Riemannscher Raum |
| url | https://doi.org/10.1007/978-1-4684-8670-4 |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT molinopierre riemannianfoliations |