Kähler-Einstein metrics and integral invariants

＜図書＞
Kähler-Einstein metrics and integral invariants

責任表示	Akito Futaki
シリーズ	Lecture notes in mathematics ; 1314
データ種別	図書
出版情報	Berlin ; Tokyo : Springer-Verlag , c1988
本文言語	英語
大きさ	iv, 139 p. ; 25 cm
概要	These notes present very recent results on compact K hler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisti...g of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a K hler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a K hler-Einstein metric and lifting to a group character. Other related topics such as extremal K hler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of K hlerian 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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7018429

一般注記	Bibliography: p. [133]-139 Includes index
著者標目	*二木, 昭人(1954-) <フタキ, アキト>
件　名	LCSH:Complex manifolds LCSH:Hermitian structures LCSH:Kählerian structures
分　類	LCC:QA3 LCC:QA614 DC19:510 s DC19:516.3/62 NDC8:410.8
書誌ID	1000032297
ISBN	3540192506
NCID	BA03820933
巻冊次	: gw ; ISBN:3540192506 : us ; ISBN:0387192506
登録日	2009.09.10
更新日	2017.02.18