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September, 2002 Complete Manifolds with Positive Spectrum, II
Peter Li, Jiaping Wang
J. Differential Geom. 62(1): 143-162 (September, 2002). DOI: 10.4310/jdg/1090425532

Abstract

In this paper, we continued our investigation of complete manifolds whose spectrum of the Laplacian has an optimal positive lower bound. In particular, we proved a splitting type theorem for n-dimensional manifolds that have a finite volume end. This can be viewed as a study of the equality case of a theorem of Cheng.

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Peter Li. Jiaping Wang. "Complete Manifolds with Positive Spectrum, II." J. Differential Geom. 62 (1) 143 - 162, September, 2002. https://doi.org/10.4310/jdg/1090425532

Information

Published: September, 2002
First available in Project Euclid: 21 July 2004

zbMATH: 1073.58023
MathSciNet: MR1987380
Digital Object Identifier: 10.4310/jdg/1090425532

Rights: Copyright © 2002 Lehigh University

Vol.62 • No. 1 • September, 2002
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