Vanishing theorems of L2-cohomology groups on Hessian manifolds

被引：0

作者：

Akagawa, Shinya ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 560, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2019年 / 71卷 / 01期

关键词：

Hesse–Einstein; Hessian manifolds; L[!sup]2[!/sup]-cohomology groups; Laplacians; Monge–Ampère equation; Regular convex cones;

D O I：

10.2969/jmsj/77397739

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show vanishing theorems of L-2-cohomology groups of Kodaira-Nakano type on complete Hessian manifolds by introducing a new operator partial derivative'(F). We obtain further vanishing theorems of L-2-cohomology groups L(2)Hp,q/partial derivative(Omega) on a regular convex cone Omega with the Cheng-Yau metric for p > q.

引用

页码：65 / 89

页数：25

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