The Bochner-flat cone of a CR manifold

被引：2
|
作者：
David, Liana [1 ]
机构：
[1] Romanian Acad Simion Stoilow, Inst Math, Bucharest 010702, Romania
来源：
COMPOSITIO MATHEMATICA | 2008年 / 144卷 / 03期
关键词：
Bochner-flat Kahler manifolds; cone manifolds; CR and Sasaki manifolds;
D O I：
10.1112/S0010437X07003363
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a Kahler structure (which we call a generalised Kahler cone) on an open subset of the cone of a strongly pseudo-convex CR manifold endowed with a one-parameter family of compatible Sasaki structures. We determine those generalised Kahler cones which are Bochner-flat and we study their local geometry. We prove that any Bochner-flat Kahler manifold of complex dimension bigger than two is locally isomorphic to a generalised Kahler cone.
引用
收藏
页码：747 / 773
页数：27
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