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Eigenvalue Comparison for Tubular Domains

Jeffrey M. Lee
Proceedings of the American Mathematical Society
Vol. 109, No. 3 (Jul., 1990), pp. 843-848
DOI: 10.2307/2048228
Stable URL: http://www.jstor.org/stable/2048228
Page Count: 6
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Eigenvalue Comparison for Tubular Domains
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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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