Coverart for item
The Resource Kähler-Einstein metrics and integral invariants, Akito Futaki

Kähler-Einstein metrics and integral invariants, Akito Futaki

Label
Kähler-Einstein metrics and integral invariants
Title
Kähler-Einstein metrics and integral invariants
Statement of responsibility
Akito Futaki
Creator
Subject
Language
eng
Summary
These notes present very recent results on compact Khler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Khler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Khler-Einstein metric and lifting to a group character. Other related topics such as extremal Khler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Khlerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject
Member of
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1954-
http://library.link/vocab/creatorName
Futaki, Akito
Dewey number
  • 510 s
  • 516.3/62
Index
index present
LC call number
  • QA3
  • QA614
LC item number
.L28 no. 1314
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1314
http://library.link/vocab/subjectName
  • Complex manifolds
  • Hermitian structures
  • Kählerian structures
  • Variétés complexes
  • Structures hermitiennes
  • Structures kählériennes
  • Complex manifolds
  • Hermitian structures
  • Riemann-vlakken
  • Kählerian structures
  • Algebraïsche meetkunde
  • Kähler-Einstein-Metrik
  • Kompakte komplexe Mannigfaltigkeit
Label
Kähler-Einstein metrics and integral invariants, Akito Futaki
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 133-139) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Preliminaries -- Khler-Einstein Metrics and Extremal Khler Metrics -- The Character f and its Generalization to Khlerian Invariants -- The Character f as an Obstruction -- The Character f as a Classical Invariant -- Lifting f to a Group Character -- The Character f as a Moment Map -- Aubin's Approach and Related Results -- References -- Index
Control code
294933437
Dimensions
unknown
Extent
1 online resource (iv, 139 pages).
Form of item
online
Isbn
9783540391722
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294933437
Label
Kähler-Einstein metrics and integral invariants, Akito Futaki
Publication
Bibliography note
Includes bibliographical references (pages 133-139) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Preliminaries -- Khler-Einstein Metrics and Extremal Khler Metrics -- The Character f and its Generalization to Khlerian Invariants -- The Character f as an Obstruction -- The Character f as a Classical Invariant -- Lifting f to a Group Character -- The Character f as a Moment Map -- Aubin's Approach and Related Results -- References -- Index
Control code
294933437
Dimensions
unknown
Extent
1 online resource (iv, 139 pages).
Form of item
online
Isbn
9783540391722
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294933437

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