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arXiv · 1002.4972

Existence of regular neighborhoods for H-surfaces

William H. Meeks III·Giuseppe Tinaglia
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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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William H. Meeks III, Giuseppe Tinaglia. 2010-02-26. Existence of regular neighborhoods for H-surfaces. https://arxiv.org/abs/1002.4972

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