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
