English

Existence of regular neighborhoods for H-surfaces

Differential Geometry 2010-03-01 v1

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.

Keywords

Cite

@article{arxiv.1002.4972,
  title  = {Existence of regular neighborhoods for H-surfaces},
  author = {William H. Meeks and Giuseppe Tinaglia},
  journal= {arXiv preprint arXiv:1002.4972},
  year   = {2010}
}

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11 pages