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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Eigenvalue comparison for tubular domains


Author: Jeffrey M. Lee
Journal: Proc. Amer. Math. Soc. 109 (1990), 843-848
MSC: Primary 58G20; Secondary 35P15, 53C40, 58G30
MathSciNet review: 1021900
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Abstract: S. Y. Cheng's eigenvalue comparison theorem for geodesic balls is generalized to certain tubular domains. This gives application to the infinitesimal volume comparison theory developed by E. Heintze and H. Karcher as well as A. Gray.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1021900-1
Keywords: Laplace operator, Riemannian manifold, eigenvalues, tubular domain, spectral geometry
Article copyright: © Copyright 1990 American Mathematical Society