A vanishing theorem on L2 harmonic forms

被引：1

作者：

Chen, ZH

Zhou, CH

机构：

[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China

[2] Shanghai Univ Elect Power, Dept Comp Sci, Shanghai 200090, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2002年 / 22卷 / 03期

关键词：

harmonic form; radial sectional curvature; Hessian;

D O I：

10.1016/S0252-9602(17)30307-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concernod with the L-2 harmonic forms of a complete noncompact Riemannian manifold, i,e. If M has a pole Q, lot 0 < p < n/1+root2 or root2n/1+root2 < p < n, and assume the radial section curvatures satisfy -c(1-c)/r(2) less than or equal to K-r less than or equal to c(1-c)/r(2) on M - {Q}, where 1 > c > (1+root2)p-1/n-1, then H-p = {0}. If M has a soul, then similar result is obtained.

引用

页码：379 / 387

页数：9

共 7 条

[1] L2-harmonic forms of a complete noncompact Riemannian manifold [J].