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- catalog abstract "These notes present very recent results on compact Kähler-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 Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character. Other related topics such as extremal Kähler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kählerian 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.".
- catalog contributor b2119612.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [133]-139.".
- catalog description "Contents: Introduction -- Preliminaries -- Kähler-Einstein Metrics and Extremal Kähler Metrics -- The Character f and its Generalization to Kählerian 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.".
- catalog description "These notes present very recent results on compact Kähler-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 Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character. Other related topics such as extremal Kähler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kählerian 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.".
- catalog extent "iv, 139 p. ;".
- catalog hasFormat "Kähler-Einstein metrics and integral invariants.".
- catalog identifier "0387192506 (U.S. : pbk.)".
- catalog identifier "3540192506".
- catalog isFormatOf "Kähler-Einstein metrics and integral invariants.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1314.".
- catalog isPartOf "Lecture notes in mathematics ; 1314".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Kähler-Einstein metrics and integral invariants.".
- catalog subject "510 s 516.3/62 19".
- catalog subject "Complex manifolds.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Global differential geometry.".
- catalog subject "Hermitian structures.".
- catalog subject "Kählerian structures.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1314 QA614".
- catalog tableOfContents "Contents: Introduction -- Preliminaries -- Kähler-Einstein Metrics and Extremal Kähler Metrics -- The Character f and its Generalization to Kählerian 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.".
- catalog title "Kähler-Einstein metrics and integral invariants / Akito Futaki.".
- catalog type "text".