A Priori Estimates for Complex Monge-Ampere Equation on Hermitian Manifolds

被引：32
|
作者：
Zhang, Xiangwen [1 ]
机构：
[1] McGill Univ, Dept Math & Stat, Montreal, PQ, Canada
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2010年 / 2010卷 / 19期
关键词：
D O I：
10.1093/imrn/rnq029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the regularity of complex Monge-Ampere equation on Hermitian manifolds. Our main results give the C-1 and C-2 estimates for the solution of Equation (1.1). Moreover, we also give the gradient estimate for the geometric solution of complex Hessian Equations (1.4) and (1.6) when the background manifold is Hermitian.
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页码：3814 / 3836
页数：23
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