A Laplacian comparison theorem and its applications
Takeshi Kura
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 78, Number 1
(2002), 7-9.
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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Keywords: Laplacian comparison theorem; volume comparison theorem; hyperbolicity of Riemannian manifolds
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pja/1148392779
Mathematical Reviews number (MathSciNet): MR1879855
Zentralblatt MATH identifier: 1082.53038
Digital Object Identifier: doi:10.3792/pjaa.78.7
Proceedings of the Japan Academy, Series A, Mathematical Sciences
