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Author Bessa, G. Pacelli ♦ Costa, M. Silvana
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-04-29
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Differential Geometry ♦ 53C40 ♦ 53C42 ♦ 58C40 ♦ math
Abstract We give lower bounds for the fundamental tone of open sets in submanifolds with locally bounded mean curvature in $ N \times \mathbb{R}$, where $N$ is an $n$-dimensional complete Riemannian manifold with radial sectional curvature $K_{N} \leq \kappa$. When the immersion is minimal our estimates are sharp. We also show that cylindrically bounded minimal surfaces has positive fundamental tone.
Description Reference: Proc. Amer. Math. Soc. 137 (2009), no. 3, 1093--1102.
Educational Use Research
Learning Resource Type Article
Page Count 9


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