Existence of regular neighborhoods for H-surfaces

William H. Meeks III, Giuseppe Tinaglia

Research output: Working paper/PreprintPreprint

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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 languageEnglish
Publication statusPublished - 26 Feb 2010

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