数学季刊 ›› 1994, Vol. 9 ›› Issue (2): 40-43.

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Estimates for the Upper Bounds of the First Eigenvalue on Submanifolds

  

  1. Dept. of Mathe. Jiaozuo Miing Iustitute,Henan,China,454159;Jiaozuo University
  • 收稿日期:1993-04-20 出版日期:1994-06-30 发布日期:2025-04-25
  • 基金资助:

Estimates for the Upper Bounds of the First Eigenvalue on Submanifolds

  1. Dept. of Mathe. Jiaozuo Miing Iustitute,Henan,China,454159;Jiaozuo University


  • Received:1993-04-20 Online:1994-06-30 Published:2025-04-25

摘要: In the article the authors extend B.Y.Chen's inequality to other ambient spaces by the Nash imbedding theorem,obtain some meaningful results about the upper bounds of 2:for the Laplace operator on submanifolds.

关键词: estimate, upper bound, eigenvalue, Laplace operator, submanifold, Nash imbedding theorem

Abstract: In the article the authors extend B.Y.Chen's inequality to other ambient spaces by the Nash imbedding theorem,obtain some meaningful results about the upper bounds of 2:for the Laplace operator on submanifolds.

Key words: estimate, upper bound, eigenvalue, Laplace operator, submanifold, Nash imbedding theorem

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