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VOL. 34 | 2002 Volume Minimizing Hypersurfaces in Manifolds of Nonnegative Scalar Curvature
Mingliang Cai

Editor(s) Kenji Fukaya, Seiki Nishikawa, Joel Spruck

Abstract

We prove that if a manifold of nonnegative scalar curvature contains a two-sided hypersurface which is locally of least area and admits no metric of positive scalar curvature, then it splits isometrically in a neighborhood of the hypersurface.

Information

Published: 1 January 2002
First available in Project Euclid: 31 December 2018

zbMATH: 1030.53037
MathSciNet: MR1925731

Digital Object Identifier: 10.2969/aspm/03410001

Subjects:
Primary: 53C20
Secondary: 53C21

Rights: Copyright © 2002 Mathematical Society of Japan

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