Existence of regular neighborhoods for H-surfaces

William H. Meeks III; Giuseppe Tinaglia

Existence of regular neighborhoods for H-surfaces

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Abstract

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.

Original language	English
Publication status	Published - 26 Feb 2010

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abstract = "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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Existence of regular neighborhoods for H-surfaces

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