Holomorphic Cartan geometries and Calabi-Yau manifolds

被引：5

作者：

Biswas, Indranil ^{[1
]}

McKay, Benjamin ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Natl Univ Ireland Univ Coll Cork, Sch Math Sci, Cork, Ireland

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2010年 / 60卷 / 04期

关键词：

Cartan geometry; Calabi-Yau manifold; Connection;

D O I：

10.1016/j.geomphys.2009.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a connected complex projective manifold such that c(1)(T((1,0))M) = 0. If M admits a holomorphic Cartan geometry, then we show that M is holomorphically covered by an abelian variety. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：661 / 663

页数：3

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[3]

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[4]

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