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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Embedded minimal surfaces in $ 3$-manifolds with positive scalar curvature


Author: J. H. Rubinstein
Journal: Proc. Amer. Math. Soc. 95 (1985), 458-462
MSC: Primary 53C42; Secondary 53A10, 57N10
MathSciNet review: 806087
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Abstract: Let $ M$ be a closed orientable Riemannian $ 3$-manifold with positive scalar curvature. We prove that any embedded closed minimal surface in $ M$ has a topological description as a generalized Heegaard surface. Also an existence theorem is proved which gives examples of such minimal surfaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0806087-8
PII: S 0002-9939(1985)0806087-8
Keywords: Minimal surface, generalized Heegaard surface, positive scalar curvature
Article copyright: © Copyright 1985 American Mathematical Society