Kähler-Einstein metrics and integral invariants:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo
Springer-Verlag
1988
|
| Series: | Lecture notes in mathematics
1314 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IV, 139 Seiten |
| ISBN: | 3540192506 0387192506 |
Staff View
MARC
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| 100 | 1 | |a Futaki, Akito |d 1954- |0 (DE-588)110477092X |4 aut | |
| 245 | 1 | 0 | |a Kähler-Einstein metrics and integral invariants |c Akito Futaki |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo |b Springer-Verlag |c 1988 | |
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Record in the Search Index
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|---|---|
| adam_text | Table of contents
I ntroduct i on 1
Chapter I Preliminaries
§1.1 Kahlerian geometry 7
§1.2 Connections and Characteristic forms 17
§1.3 Simons classes 23
§1.4 Characteristic classes of foliations 28
Chapter II Kahler-Einstein metrics and extremal Kahler metrics
§2.1 Kahler-Einstein metrics 31
§2.2 Extremal Kahler metrics 33
§2.3 Matsushima-Lichnerowicz-Calabi theorem 34
§2.4 Ricci curvature and holomorphic vector fields 39
§2.5 Examples of Levine and Burns 43
Chapter III The character / and its generalization to
Kahlerian invariants
§3.1 The definition of the character / 46
§3.2 Generalization to Kahlerian invariants 47
§3.3 Relation to extremal Kahler metrics 52
§3.4 Barycenter of moment map 54
Chapter IV The character / as an obstruction
§4.1 Integrabi1ity condition of Kazdan and Warner 56
§4.2 An example with nontrivial / and reductive b(M) 60
§4.3 Non-homogeneous Kahler-Einstein manifolds 62
Chapter V The character / as a classical invariant
§5.1 Lefschetz numbers 68
§5.2 Invariant polynomials of H(M) 69
§5.3 Linear dependence relations 76
§5.4 Relation to equivariant cohomology 81
Chapter VI Lifting / to a group character
§6.1 Godbi1lon-Vey invariant 87
IV
§6.2 The imaginary part of the lift 7 of / 89
§6.3 K-energy map 94
§6.4 Lifting as a representation on H (M,K~n) 97
Chapter VII The character / as a moment map
§7.1 Del Pezzo surfaces 99
§7.2 Symplectic reduction 100
§7.3 Computation of Ricci curvature 104
§7.4 A simple formula for / 110
Chapter VIII Aubin s approach and related results
§8.1 Aubin s approach 113
§8.2 Uniqueness of Kahler-Einstein metrics with 116
posi tive sign
§8.3 Manifolds with bounded K-energy 125
§8.4 Tian s invariant and existence results 127
References 133
Index 140
|
| any_adam_object | 1 |
| author | Futaki, Akito 1954- |
| author_GND | (DE-588)110477092X |
| author_facet | Futaki, Akito 1954- |
| author_role | aut |
| author_sort | Futaki, Akito 1954- |
| author_variant | a f af |
| building | Verbundindex |
| bvnumber | BV000809000 |
| classification_rvk | SI 850 |
| classification_tum | MAT 536f |
| ctrlnum | (OCoLC)230928811 (DE-599)BVBBV000809000 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000809000 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:19:47Z |
| institution | BVB |
| isbn | 3540192506 0387192506 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000507179 |
| oclc_num | 230928811 |
| open_access_boolean | |
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| physical | IV, 139 Seiten |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Futaki, Akito 1954- (DE-588)110477092X aut Kähler-Einstein metrics and integral invariants Akito Futaki Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo Springer-Verlag 1988 IV, 139 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1314 Kähler-Einstein-Metrik (DE-588)4193456-8 gnd rswk-swf Einstein-Metrik (DE-588)4726760-4 gnd rswk-swf Integralinvariante (DE-588)4490766-7 gnd rswk-swf Invariantentheorie (DE-588)4162209-1 gnd rswk-swf Kompakte komplexe Mannigfaltigkeit (DE-588)4164843-2 gnd rswk-swf Einstein-Metrik (DE-588)4726760-4 s Invariantentheorie (DE-588)4162209-1 s DE-604 Kähler-Einstein-Metrik (DE-588)4193456-8 s Integralinvariante (DE-588)4490766-7 s Kompakte komplexe Mannigfaltigkeit (DE-588)4164843-2 s Erscheint auch als Online-Ausgabe 978-3-540-19250-3 Lecture notes in mathematics 1314 (DE-604)BV000676446 1314 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000507179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Futaki, Akito 1954- Kähler-Einstein metrics and integral invariants Lecture notes in mathematics Kähler-Einstein-Metrik (DE-588)4193456-8 gnd Einstein-Metrik (DE-588)4726760-4 gnd Integralinvariante (DE-588)4490766-7 gnd Invariantentheorie (DE-588)4162209-1 gnd Kompakte komplexe Mannigfaltigkeit (DE-588)4164843-2 gnd |
| subject_GND | (DE-588)4193456-8 (DE-588)4726760-4 (DE-588)4490766-7 (DE-588)4162209-1 (DE-588)4164843-2 |
| title | Kähler-Einstein metrics and integral invariants |
| title_auth | Kähler-Einstein metrics and integral invariants |
| title_exact_search | Kähler-Einstein metrics and integral invariants |
| title_full | Kähler-Einstein metrics and integral invariants Akito Futaki |
| title_fullStr | Kähler-Einstein metrics and integral invariants Akito Futaki |
| title_full_unstemmed | Kähler-Einstein metrics and integral invariants Akito Futaki |
| title_short | Kähler-Einstein metrics and integral invariants |
| title_sort | kahler einstein metrics and integral invariants |
| topic | Kähler-Einstein-Metrik (DE-588)4193456-8 gnd Einstein-Metrik (DE-588)4726760-4 gnd Integralinvariante (DE-588)4490766-7 gnd Invariantentheorie (DE-588)4162209-1 gnd Kompakte komplexe Mannigfaltigkeit (DE-588)4164843-2 gnd |
| topic_facet | Kähler-Einstein-Metrik Einstein-Metrik Integralinvariante Invariantentheorie Kompakte komplexe Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000507179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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