Geodesic
On Frankel’s Theorem
Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 130-139

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DOI

In this paper we show that two minimal hypersurfaces in a manifold with positive Ricci curvature must intersect. This is then generalized to show that in manifolds with positive Ricci curvature in the integral sense two minimal hypersurfaces must be close to each other. We also show what happens if a manifold with nonnegative Ricci curvature admits two nonintersecting minimal hypersurfaces.
DOI : 10.4153/CMB-2003-013-4
Mots-clés : 53C20, Frankel’s Theorem 
Petersen, Peter; Wilhelm, Frederick. On Frankel’s Theorem. Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 130-139. doi: 10.4153/CMB-2003-013-4
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     title = {On {Frankel{\textquoteright}s} {Theorem}},
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     number = {1},
     doi = {10.4153/CMB-2003-013-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-013-4/}
}
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