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arxiv: 1002.4972 · v1 · submitted 2010-02-26 · 🧮 math.DG

Existence of regular neighborhoods for H-surfaces

classification 🧮 math.DG
keywords certainconstantcurvatureexistencehypersurfacesmeann-manifoldsneighborhoods
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In this paper, we study the global geometry of complete, constant mean curvature hypersurfaces embedded in n-manifolds. More precisely, we give conditions that imply properness of such surfaces and prove the existence of fixed size one-sided regular neighborhoods for certain constant mean curvature hypersurfaces in certain n-manifolds.

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