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<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
出版者 Berlin ; Tokyo : Springer-Verlag
出版年 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

所蔵情報

: Germany 数理 雑誌室 068252195009814 SER/LNM/K1314
410.8

理系図3F 数理独自 068222188005371 SER/LNM/1314 1988

理系図 自動書庫 068582188012758 410.8/L 493/(1314) 1988

書誌詳細

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

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