Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (4): 32-36.

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On a Theorem of J.Hersch 

  

  1. 郑州大学系统科学与数学系 河南郑州450052
  • Received:1997-06-10 Online:1999-12-30 Published:2024-09-04
  • About author:MA Jian-guo(1963-),native of Xingyang,Henan,professor of Zhengzhou University,Doctor of Philosophy.
  • Supported by:
    Supported by NSF of Henan Educational Committee(94459062) .

Abstract: 我们证明在与典型 n 维球面(Sn,g) 共形的 n 维球面上, 成立不等式λ1≤n(VOL(Sn,g0)VOL(Sn,g))2/n,这推广了Hersch 关于拉普拉斯算子第一特征值λ1的一个定理. 

Key words:  , n维球面, 第一特征值,  ,

CLC Number: