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arxiv: 0905.4192 · v1 · submitted 2009-05-26 · 🧮 math.AP · math.DG

The existence of embedded minimal hypersurfaces

classification 🧮 math.AP math.DG
keywords closedexistencehypersurfacesminimaldimensionalembeddedextendedfirst
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We give a shorter proof of the existence of nontrivial closed minimal hypersurfaces in closed smooth $(n+1)$--dimensional Riemannian manifolds, a theorem proved first by Pitts for $2\leq n\leq 5$ and extended later by Schoen and Simon to any $n$.

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