Locally conformal Kähler geometry:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
1998
|
| Schriftenreihe: | Progress in mathematics
155 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 307 - 327 |
| Beschreibung: | XI, 327 S. |
| ISBN: | 9780817640200 3764340207 0817640207 |
Internformat
MARC
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| 100 | 1 | |a Dragomir, Sorin |d 1955- |0 (DE-588)140382186 |4 aut | |
| 245 | 1 | 0 | |a Locally conformal Kähler geometry |c Sorin Dragomir ; Liviu Ornea |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1998 | |
| 300 | |a XI, 327 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 155 | |
| 500 | |a Literaturverz. S. 307 - 327 | ||
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Datensatz im Suchindex
| _version_ | 1804126319647129600 |
|---|---|
| adam_text | Contents
Introduction ix
1 L.c.K. Manifolds 1
2 Principally Important Properties 7
2.1 Vaisman s conjectures 7
2.2 Reducible manifolds 10
2.3 Curvature properties 11
2.4 Blow-up 15
2.5 An adapted cohomology 16
3 Examples 21
3.1 Hopf manifolds 21
3.2 The Inoue surfaces 23
3.3 A generalization of Thurston s manifold 25
3.4 A four-dimensional solvmanifold 26
3.5 SU{2) xS1 28
3.6 Noncompact examples 28
3.7 Brieskorn Van de Ven s manifolds 29
4 Generalized Hopf manifolds 33
5 Distributions on a g.H. manifold 41
6 Structure theorems 49
6.1 Regular Vaisman manifolds 49
6.2 L.c.K.o manifolds 56
6.3 A spectral characterization 60
6.4 -Vaisman manifolds 66
vi CONTENTS
7 Harmonic and holomorphic forms 69
7.1 Harmonic forms 69
7.2 Holomorphic vector fields 79
8 Hermitian surfaces 85
9 Holomorphic maps 103
9.1 General properties 103
9.2 Pseudoharmonic maps 107
9.3 A Schwarz lemma Ill
10 L.c.K. submersions 121
10.1 Submersions from CH% 121
10.2 L.c.K. submersions 124
10.2.1 An almost Hermitian submersion with total space
S2 1^,*;) x R, k -3c2 125
10.2.2 An almost Hermitian submersion with total space
R2 -1^) x R 126
10.2.3 An almost Hermitian submersion with total space
(R x B™-1)^,*;) x R, k -3c2 127
10.3 Compact total space 128
10.4 Total space a g.H. manifold 130
11 L.c. hyperKahler manifolds 133
12 Submanifolds 147
12.1 Fundamental tensors 147
12.2 Complex and CR submanifolds 153
12.3 Anti-invariant submanifolds 158
12.4 Examples 164
12.5 Distributions on submanifolds 167
12.6 Totally umbilical submanifolds 172
13 Extrinsic spheres 187
13.1 Curvature-invariant submanifolds 187
13.2 Extrinsic and standard spheres 194
13.3 Complete intersections 202
13.4 Yano s integral formula 212
CONTENTS vii
14 Real hypersurfaces 219
14.1 Principal curvatures 219
14.2 Quasi-Einstein hypersurfaces 223
14.3 Homogeneous hypersurfaces 225
14.4 Type numbers 226
14.5 L. c. cosymplectic metrics 232
15 Complex submanifolds 239
15.1 Quasi-Einstein submanifolds 239
15.2 The normal bundle 244
15.3 L.c.K. and Kahler submanifolds 251
15.4 A Frankel type theorem 253
15.5 Planar geodesic immersions 255
16 Integral formulae 257
16.1 Hopf fibrations 257
16.2 The horizontal lifting technique 260
16.3 The main result 267
17 Miscellanea 275
17.1 Parallel IInd fundamental form 275
17.2 Stability 277
17.3 /-Structures 278
17.4 Parallel /-structure P 283
17.5 Sectional curvature 285
17.6 L. c. cosymplectic structures 286
17.7 Chen s class 289
17.8 Geodesic symmetries 291
17.9 Submersed CR submanifolds 292
A Boothby-Wang fibrations 299
B Riemannian submersions 303
Bibliography 307
|
| any_adam_object | 1 |
| author | Dragomir, Sorin 1955- Ornea, Liviu 1960- |
| author_GND | (DE-588)140382186 (DE-588)1112234004 |
| author_facet | Dragomir, Sorin 1955- Ornea, Liviu 1960- |
| author_role | aut aut |
| author_sort | Dragomir, Sorin 1955- |
| author_variant | s d sd l o lo |
| building | Verbundindex |
| bvnumber | BV011776441 |
| classification_rvk | SK 370 |
| classification_tum | MAT 327f |
| ctrlnum | (OCoLC)845482868 (DE-599)BVBBV011776441 |
| dewey-full | 515.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.73 |
| dewey-search | 515.73 |
| dewey-sort | 3515.73 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011776441 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:15:34Z |
| institution | BVB |
| isbn | 9780817640200 3764340207 0817640207 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007947714 |
| oclc_num | 845482868 |
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| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-384 DE-703 DE-19 DE-BY-UBM DE-634 DE-11 DE-83 |
| physical | XI, 327 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Dragomir, Sorin 1955- (DE-588)140382186 aut Locally conformal Kähler geometry Sorin Dragomir ; Liviu Ornea Boston [u.a.] Birkhäuser 1998 XI, 327 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 155 Literaturverz. S. 307 - 327 Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd rswk-swf Kähler-Mannigfaltigkeit (DE-588)4162978-4 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Ornea, Liviu 1960- (DE-588)1112234004 aut Progress in mathematics 155 (DE-604)BV000004120 155 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007947714&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dragomir, Sorin 1955- Ornea, Liviu 1960- Locally conformal Kähler geometry Progress in mathematics Differentialgeometrie (DE-588)4012248-7 gnd Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4162978-4 |
| title | Locally conformal Kähler geometry |
| title_auth | Locally conformal Kähler geometry |
| title_exact_search | Locally conformal Kähler geometry |
| title_full | Locally conformal Kähler geometry Sorin Dragomir ; Liviu Ornea |
| title_fullStr | Locally conformal Kähler geometry Sorin Dragomir ; Liviu Ornea |
| title_full_unstemmed | Locally conformal Kähler geometry Sorin Dragomir ; Liviu Ornea |
| title_short | Locally conformal Kähler geometry |
| title_sort | locally conformal kahler geometry |
| topic | Differentialgeometrie (DE-588)4012248-7 gnd Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd |
| topic_facet | Differentialgeometrie Kähler-Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007947714&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
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