Książka Kahler-Einstein Metrics and Integral Invariants Akito Futaki

Kahler-Einstein Metrics and Integral Invariants

Autor: Akito Futaki
Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
121.64
These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curv...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Miękka
strony
140
EAN
9783540192503
ISBN
3540192506
Enbook ID
01558529
Waga
236
Wymiary
233 x 155 x 14

Pełny opis

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.

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