Vanishing Theorem for Irreducible Symmetric Spaces of Noncompact Type

被引：0

作者：

Xu Sheng LIU School of Mathematical Sciences

机构：

来源：

Acta Mathematica Sinica,English Series | 2010年 / 26卷 / 02期

关键词：

vanishing theorem; symmetric space; harmonic form;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

We prove the following vanishing theorem. Let M be an irreducible symmetric space ofnoncompact type whose dimension exceeds 2 and M ≠ S0(2,2)/S0(2) × SO(2). Let π: → M beany vector bundle. Then any E-valued L~2 harmonic 1-form over M vanishes. In particular we get thevanishing theorem for harmonic maps from irreducible symmetric spaces of noncompact type.

引用

页码：361 / 368

页数：8

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