Canonical metrics in Kähler geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2000
|
| Schriftenreihe: | Lectures in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 100 S. |
| ISBN: | 3764361948 |
Internformat
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| 245 | 1 | 0 | |a Canonical metrics in Kähler geometry |c Gang Tian. Notes taken by Meike Akveld |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2000 | |
| 300 | |a 100 S. | ||
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| 490 | 0 | |a Lectures in mathematics | |
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| 650 | 7 | |a Géométrie différentielle |2 ram | |
| 650 | 4 | |a Kahlerian manifoldları | |
| 650 | 7 | |a Variétés kählériennes |2 ram | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Kählerian manifolds | |
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Datensatz im Suchindex
| _version_ | 1804127426862645248 |
|---|---|
| adam_text | Contents
Preface
.....................................
vii
1
Introduction
to
Kahler
manifolds
1.1 Kahler
metrics
............................ 1
1.2
Curvature of
Kahler
metrics
..................... 4
2
Extremal
Kahler
metrics
2.1
The space of
Kahler
metrics
..................... 11
2.2
A brief review of Chern classes
................... 14
2.3
Uniformizatioii of
Kähler-Einstein
manifolds
............ 18
3
Calabi-Futaki invariants
3.1
Definition of Calabi-Futaki invariants
................ 23
3.2
Localization formula for Calabi-Putaki invariants
......... 29
4
Scalar curvature as a moment map
.................... 35
5 Kähler-Einstein
metrics with non-positive scalar curvature
5.1
The Calabi-Yau Theorem
...................... 43
5.2 Kähler-Einstein
metrics for manifolds with c (M)
< 0...... 55
6 Kähler-Einstein
metrics with positive scalar curvature
6.1
A variational approach
........................ 58
6.2
Existence of
Kähler-Emstem
metrics
................ 62
6.3
Examples
............................... 85
7
Applications and generalizations
7.1
A manifold without
Kähler-Einstem
metric
............ 89
7.2
Ă -energy
and metrics of constant scalar curvature
........ 93
7.3
Relation to stability
......................... 96
Bibliography
.................................. 99
Index
...................................... 101
|
| any_adam_object | 1 |
| author | Gang, Tian 1958- |
| author_GND | (DE-588)11804768X |
| author_facet | Gang, Tian 1958- |
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| callnumber-raw | QA649 |
| callnumber-search | QA649 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 370 SK 540 SK 780 |
| ctrlnum | (OCoLC)41932524 (DE-599)BVBBV012759875 |
| 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 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV012759875 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:33:10Z |
| institution | BVB |
| isbn | 3764361948 |
| language | English |
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| publishDate | 2000 |
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| publisher | Birkhäuser |
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| series2 | Lectures in mathematics |
| spelling | Gang, Tian 1958- Verfasser (DE-588)11804768X aut Canonical metrics in Kähler geometry Gang Tian. Notes taken by Meike Akveld Basel [u.a.] Birkhäuser 2000 100 S. txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics Geometri, Diferansiyel Géométrie différentielle ram Kahlerian manifoldları Variétés kählériennes ram Geometry, Differential Kählerian manifolds Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Komplexe Differentialgeometrie (DE-588)4193770-3 gnd rswk-swf Kähler-Einstein-Metrik (DE-588)4193456-8 gnd rswk-swf Kähler-Mannigfaltigkeit (DE-588)4162978-4 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Komplexe Differentialgeometrie (DE-588)4193770-3 s Kähler-Einstein-Metrik (DE-588)4193456-8 s Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008676316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gang, Tian 1958- Canonical metrics in Kähler geometry Geometri, Diferansiyel Géométrie différentielle ram Kahlerian manifoldları Variétés kählériennes ram Geometry, Differential Kählerian manifolds Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Komplexe Differentialgeometrie (DE-588)4193770-3 gnd Kähler-Einstein-Metrik (DE-588)4193456-8 gnd |
| subject_GND | (DE-588)4162978-4 (DE-588)4012248-7 (DE-588)4193770-3 (DE-588)4193456-8 |
| title | Canonical metrics in Kähler geometry |
| title_auth | Canonical metrics in Kähler geometry |
| title_exact_search | Canonical metrics in Kähler geometry |
| title_full | Canonical metrics in Kähler geometry Gang Tian. Notes taken by Meike Akveld |
| title_fullStr | Canonical metrics in Kähler geometry Gang Tian. Notes taken by Meike Akveld |
| title_full_unstemmed | Canonical metrics in Kähler geometry Gang Tian. Notes taken by Meike Akveld |
| title_short | Canonical metrics in Kähler geometry |
| title_sort | canonical metrics in kahler geometry |
| topic | Geometri, Diferansiyel Géométrie différentielle ram Kahlerian manifoldları Variétés kählériennes ram Geometry, Differential Kählerian manifolds Kähler-Mannigfaltigkeit (DE-588)4162978-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Komplexe Differentialgeometrie (DE-588)4193770-3 gnd Kähler-Einstein-Metrik (DE-588)4193456-8 gnd |
| topic_facet | Geometri, Diferansiyel Géométrie différentielle Kahlerian manifoldları Variétés kählériennes Geometry, Differential Kählerian manifolds Kähler-Mannigfaltigkeit Differentialgeometrie Komplexe Differentialgeometrie Kähler-Einstein-Metrik |
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| work_keys_str_mv | AT gangtian canonicalmetricsinkahlergeometry |