Riemannian Foliations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1988
|
| Schriftenreihe: | Progress in Mathematics
73 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XII, 344 p) |
| ISBN: | 9781468486704 9781468486728 |
| DOI: | 10.1007/978-1-4684-8670-4 |
Internformat
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| 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) | ||
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| 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 | |
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| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
| _version_ | 1804153093895487488 |
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| 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 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468486704 9781468486728 |
| language | English |
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| physical | 1 Online-Ressource (XII, 344 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1988 |
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| 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 |