Nonpositive curvature: geometric and analytic aspects
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Basel [u.a.]
Birkhäuser
1997
|
| Series: | Lectures in mathematics : ETH Zürich
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 99 - 104 |
| Physical Description: | VIII, 108 S. graph. Darst. |
| ISBN: | 3764357363 0817657363 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV011299487 | ||
| 003 | DE-604 | ||
| 005 | 20220303 | ||
| 007 | t | ||
| 008 | 970408s1997 gw d||| |||| 00||| ger d | ||
| 016 | 7 | |a 950039268 |2 DE-101 | |
| 020 | |a 3764357363 |c (Basel ...) kart. : sfr 32.00 |9 3-7643-5736-3 | ||
| 020 | |a 0817657363 |c (Boston) kart. |9 0-8176-5736-3 | ||
| 035 | |a (OCoLC)247375925 | ||
| 035 | |a (DE-599)BVBBV011299487 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-824 |a DE-384 |a DE-20 |a DE-703 |a DE-355 |a DE-19 |a DE-706 |a DE-634 |a DE-11 |a DE-188 | ||
| 084 | |a SK 350 |0 (DE-625)143233: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a SK 660 |0 (DE-625)143251: |2 rvk | ||
| 100 | 1 | |a Jost, Jürgen |d 1956- |e Verfasser |0 (DE-588)115774564 |4 aut | |
| 245 | 1 | 0 | |a Nonpositive curvature |b geometric and analytic aspects |c Jürgen Jost |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1997 | |
| 300 | |a VIII, 108 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Lectures in mathematics : ETH Zürich | |
| 500 | |a Literaturverz. S. 99 - 104 | ||
| 650 | 0 | 7 | |a Riemannscher Raum |0 (DE-588)4128295-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Metrischer Raum |0 (DE-588)4169745-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtpositive Krümmung |0 (DE-588)4128763-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Metrischer Raum |0 (DE-588)4169745-5 |D s |
| 689 | 0 | 1 | |a Nichtpositive Krümmung |0 (DE-588)4128763-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Riemannscher Raum |0 (DE-588)4128295-4 |D s |
| 689 | 1 | 1 | |a Nichtpositive Krümmung |0 (DE-588)4128763-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590224&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007590224 | ||
Record in the Search Index
| _version_ | 1804125806593572865 |
|---|---|
| adam_text | Contents
Preface vii
1 Introduction
1.1 Examples of Riemannian manifolds of negative or
nonpositive sectional curvature 1
Appendix to § 1.1: Symmetric spaces of noncompact type 11
1.2 Mordell and Shafarevitch type problems 19
1.3 Geometric superrigidity 23
2 Spaces of nonpositive curvature
2.1 Local properties of Riemannian manifolds of
nonpositive sectional curvature 33
2.2 Nonpositive curvature in the sense of Busemann 42
2.3 Nonpositive curvature in the sense of Alexandrov 54
3 Convex functions and centers of mass
3.1 Minimizers of convex functions 61
3.2 Centers of mass 64
3.3 Convex hulls 67
4 Generalized harmonic maps
4.1 The definition of generalized harmonic maps 69
4.2 Minimizers of generalized energy functionals 76
5 Bochner Matsushima type identities for harmonic maps
and rigidity theorems
5.1 The Bochner formula for harmonic one forms
and harmonic maps 85
5.2 A Matsushima type formula for harmonic maps 90
5.3 Geometric superrigidity 95
Bibliography 99
Index 105
v
|
| any_adam_object | 1 |
| author | Jost, Jürgen 1956- |
| author_GND | (DE-588)115774564 |
| author_facet | Jost, Jürgen 1956- |
| author_role | aut |
| author_sort | Jost, Jürgen 1956- |
| author_variant | j j jj |
| building | Verbundindex |
| bvnumber | BV011299487 |
| classification_rvk | SK 350 SK 370 SK 660 |
| ctrlnum | (OCoLC)247375925 (DE-599)BVBBV011299487 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01930nam a2200469 c 4500</leader><controlfield tag="001">BV011299487</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220303 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">970408s1997 gw d||| |||| 00||| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">950039268</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764357363</subfield><subfield code="c">(Basel ...) kart. : sfr 32.00</subfield><subfield code="9">3-7643-5736-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0817657363</subfield><subfield code="c">(Boston) kart.</subfield><subfield code="9">0-8176-5736-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)247375925</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011299487</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 660</subfield><subfield code="0">(DE-625)143251:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Jost, Jürgen</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115774564</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Nonpositive curvature</subfield><subfield code="b">geometric and analytic aspects</subfield><subfield code="c">Jürgen Jost</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 108 S.</subfield><subfield code="b">graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Lectures in mathematics : ETH Zürich</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 99 - 104</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="650" ind1="0" ind2="7"><subfield code="a">Metrischer Raum</subfield><subfield code="0">(DE-588)4169745-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtpositive Krümmung</subfield><subfield code="0">(DE-588)4128763-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Metrischer Raum</subfield><subfield code="0">(DE-588)4169745-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Nichtpositive Krümmung</subfield><subfield code="0">(DE-588)4128763-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><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="1"><subfield code="a">Nichtpositive Krümmung</subfield><subfield code="0">(DE-588)4128763-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590224&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007590224</subfield></datafield></record></collection> |
| id | DE-604.BV011299487 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:07:25Z |
| institution | BVB |
| isbn | 3764357363 0817657363 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007590224 |
| oclc_num | 247375925 |
| open_access_boolean | |
| owner | DE-824 DE-384 DE-20 DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-634 DE-11 DE-188 |
| owner_facet | DE-824 DE-384 DE-20 DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-634 DE-11 DE-188 |
| physical | VIII, 108 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Lectures in mathematics : ETH Zürich |
| spelling | Jost, Jürgen 1956- Verfasser (DE-588)115774564 aut Nonpositive curvature geometric and analytic aspects Jürgen Jost Basel [u.a.] Birkhäuser 1997 VIII, 108 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics : ETH Zürich Literaturverz. S. 99 - 104 Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Nichtpositive Krümmung (DE-588)4128763-0 gnd rswk-swf Metrischer Raum (DE-588)4169745-5 s Nichtpositive Krümmung (DE-588)4128763-0 s DE-604 Riemannscher Raum (DE-588)4128295-4 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590224&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jost, Jürgen 1956- Nonpositive curvature geometric and analytic aspects Riemannscher Raum (DE-588)4128295-4 gnd Metrischer Raum (DE-588)4169745-5 gnd Nichtpositive Krümmung (DE-588)4128763-0 gnd |
| subject_GND | (DE-588)4128295-4 (DE-588)4169745-5 (DE-588)4128763-0 |
| title | Nonpositive curvature geometric and analytic aspects |
| title_auth | Nonpositive curvature geometric and analytic aspects |
| title_exact_search | Nonpositive curvature geometric and analytic aspects |
| title_full | Nonpositive curvature geometric and analytic aspects Jürgen Jost |
| title_fullStr | Nonpositive curvature geometric and analytic aspects Jürgen Jost |
| title_full_unstemmed | Nonpositive curvature geometric and analytic aspects Jürgen Jost |
| title_short | Nonpositive curvature |
| title_sort | nonpositive curvature geometric and analytic aspects |
| title_sub | geometric and analytic aspects |
| topic | Riemannscher Raum (DE-588)4128295-4 gnd Metrischer Raum (DE-588)4169745-5 gnd Nichtpositive Krümmung (DE-588)4128763-0 gnd |
| topic_facet | Riemannscher Raum Metrischer Raum Nichtpositive Krümmung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590224&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jostjurgen nonpositivecurvaturegeometricandanalyticaspects |