書目名稱 | K?hler-Einstein Metrics and Integral Invariants |
編輯 | Akito Futaki |
視頻video | http://file.papertrans.cn/542/541470/541470.mp4 |
叢書名稱 | Lecture Notes in Mathematics |
圖書封面 |  |
描述 | 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 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 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. |
出版日期 | Book 1988 |
關(guān)鍵詞 | Grad; Invariant; Lie; Microsoft Access; Simon; Vector field; algebra; boundary element method; curvature; eXi |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0078084 |
isbn_softcover | 978-3-540-19250-3 |
isbn_ebook | 978-3-540-39172-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1988 |