International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1993 / Article

Open Access

Volume 16 |Article ID 195734 | https://doi.org/10.1155/S0161171293000705

Yoe Itokawa, "On minimal hypersurfaces of nonnegatively Ricci curved manifolds", International Journal of Mathematics and Mathematical Sciences, vol. 16, Article ID 195734, 6 pages, 1993. https://doi.org/10.1155/S0161171293000705

On minimal hypersurfaces of nonnegatively Ricci curved manifolds

Received03 Mar 1992
Revised01 Jun 1992

Abstract

We consider a complete open riemannian manifold M of nonnegative Ricci curvature and a rectifiable hypersurface in M which satisfies some local minimizing property. We prove a structure theorem for M and a regularity theorem for . More precisely, a covering space of M is shown to split off a compact domain and is shown to be a smooth totally geodesic submanifold. This generalizes a theorem due to Kasue and Meyer.

Copyright © 1993 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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