数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (3): 379-387.

• 论文 • 上一篇    下一篇

A VANISHING THEOREM ON L2 HARMONIC FORMS

 陈志华, 周朝晖   

  1. Department of Applied Mathematics, Tongji university, Shanghai 200092, China Department of computing Science, Shanghai university of Electric Power, Shanghai 200090, China
  • 出版日期:2002-07-15 发布日期:2002-07-15
  • 基金资助:

    The project support by NNSF of China (19631010)

A VANISHING THEOREM ON L2 HARMONIC FORMS

 CHEN Zhi-Hua, ZHOU Chao-Hui   

  1. Department of Applied Mathematics, Tongji university, Shanghai 200092, China Department of computing Science, Shanghai university of Electric Power, Shanghai 200090, China
  • Online:2002-07-15 Published:2002-07-15
  • Supported by:

    The project support by NNSF of China (19631010)

PDF (PC)

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摘要：

This paper is concernod with the L2 harmonic forms of a complete noncompact Riemannian manifold, i.e. If M has a pole Q, let 0 < p < n 1+p2
or p2n 1+p2 < p < n, and assume the radial section curvatures satisfy −c(1−c) r 2  Kr  c(1−c) 2 on M − {Q}, where 1 > c > (1+p2)p−1 n−1 , then Hp = {0}. If M has a soul, then similar result is obtained

关键词: Harmonic form, radial sectional curvature, Hessian

Abstract:

This paper is concernod with the L2 harmonic forms of a complete noncompact Riemannian manifold, i.e. If M has a pole Q, let 0 < p < n 1+p2
or p2n 1+p2 < p < n, and assume the radial section curvatures satisfy −c(1−c) r 2  Kr  c(1−c) 2 on M − {Q}, where 1 > c > (1+p2)p−1 n−1 , then Hp = {0}. If M has a soul, then similar result is obtained

Key words: Harmonic form, radial sectional curvature, Hessian

中图分类号: 

  • 53C20
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