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On minimal hypersurfaces of nonnegatively Ricci curved manifolds

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 comp...

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Hlavní autor: Yoe Itokawa
Médium: Artigo
Jazyk:Inglês
Vydáno: Wiley 1993-01-01
Edice:International Journal of Mathematics and Mathematical Sciences
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On-line přístup:http://dx.doi.org/10.1155/S0161171293000705
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