Existence of regular neighborhoods for H-surfaces

Details Existence of regular neighborhoods for H-surfaces Existence of regular neighborhoods for H-surfaces

2010-02-26

arxiv.org/abs/1002.4972v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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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