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.
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页码：361 / 368
页数：8
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