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The first eigenvalue of a closed manifold with positive Ricci curvature
Author(s):
Jun
Ling
Journal:
Proc. Amer. Math. Soc.
134
(2006),
3071-3079.
MSC (2000):
Primary 58J50, 35P15;
Secondary 53C21
Posted:
May 1, 2006
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Abstract:
We give a new estimate on the lower bound for the first positive eigenvalue of the Laplacian on a closed manifold with positive Ricci curvature in terms of the lower bound of the Ricci curvature and the largest interior radius of the nodal domains of eigenfunctions of the eigenvalue.
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Additional Information:
Jun
Ling
Affiliation:
Department of Mathematics, Utah Valley State College, Orem, Utah 84058
Email:
lingju@uvsc.edu
DOI:
10.1090/S0002-9939-06-08332-8
PII:
S 0002-9939(06)08332-8
Keywords:
Eigenvalue,
lower bound,
closed Riemannian manifold
Received by editor(s):
October 15, 2004
Received by editor(s) in revised form:
April 28, 2005
Posted:
May 1, 2006
Communicated by:
Jozef Dodziuk
Copyright of article:
Copyright
2006,
American Mathematical Society
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