Eigenvalue comparison for tubular domains

Jeffrey M. Lee

doi:10.1090/S0002-9939-1990-1021900-1

Eigenvalue comparison for tubular domains

Jeffrey M. Lee

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	843-848
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	109
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1990-1021900-1
State	Published - Jul 1990

Keywords

Eigenvalues
Laplace operator
Riemannian manifold
Spectral geometry
Tubular domain

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10.1090/S0002-9939-1990-1021900-1

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title = "Eigenvalue comparison for tubular domains",

abstract = "S. Y. Cheng{\textquoteright}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.",

keywords = "Eigenvalues, Laplace operator, Riemannian manifold, Spectral geometry, Tubular domain",

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KW - Laplace operator

KW - Riemannian manifold

KW - Spectral geometry

KW - Tubular domain

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Eigenvalue comparison for tubular domains

Abstract

Keywords

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