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An Asymptotic Isoperimetric Inequality

✍ Scribed by N. Alon; R. Boppana; J. Spencer


Publisher
Springer
Year
1998
Tongue
English
Weight
408 KB
Volume
8
Category
Article
ISSN
1016-443X

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Let (M n , g) be a compact Riemannian manifold with boundary. In this paper we give upper and lower estimates for the first nonzero Steklov eigenvalue where & 1 is a positive real number. The estimate from below is for a star-shaped domain on a manifold whose Ricci curvature is bounded from below.