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Jan. 2002 A Laplacian comparison theorem and its applications
Takeshi Kura
Proc. Japan Acad. Ser. A Math. Sci. 78(1): 7-9 (Jan. 2002). DOI: 10.3792/pjaa.78.7

Abstract

A Laplacian comparison theorem is given. As applications we show a volume comparison theorem and a criterion for the hyperbolicity of Riemannian manifolds.

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Takeshi Kura. "A Laplacian comparison theorem and its applications." Proc. Japan Acad. Ser. A Math. Sci. 78 (1) 7 - 9, Jan. 2002. https://doi.org/10.3792/pjaa.78.7

Information

Published: Jan. 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1082.53038
MathSciNet: MR1879855
Digital Object Identifier: 10.3792/pjaa.78.7

Subjects:
Primary: 53C21
Secondary: 31C12

Keywords: hyperbolicity of Riemannian manifolds , Laplacian comparison theorem , volume comparison theorem

Rights: Copyright © 2002 The Japan Academy

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Vol.78 • No. 1 • Jan. 2002
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