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Existence of regular neighborhoods for H-surfaces

Research output: Working paperPre-print

William H. Meeks III, Giuseppe Tinaglia

Original languageEnglish
Published26 Feb 2010

Bibliographical note

Pre-print in ArXiv. 11 pages.


  • pdf

    1002.4972v1, 142 KB, application/pdf

    Version:Submitted manuscript

    Preprint on ArXiv

King's Authors


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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