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Proc Natl Acad Sci U S A. 1978 Jun;75(6):2567.

Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity.

Author information

1
Department of Mathematics, University of California, Berkeley, California 94720.

Abstract

We study three-dimensional Riemannian manifolds with nonnegative scalar curvature. We find new topological obstruction for such manifolds. Our method turns out to be useful in studying the positive mass conjecture in general relativity.

PMID:
16592534
PMCID:
PMC392601

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