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Fall 2011 Existence of regular neighborhoods for H-surfaces
William H. Meeks, III, Giuseppe Tinaglia
Illinois J. Math. 55(3): 835-844 (Fall 2011). DOI: 10.1215/ijm/1369841787

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. "Existence of regular neighborhoods for H-surfaces." Illinois J. Math. 55 (3) 835 - 844, Fall 2011. https://doi.org/10.1215/ijm/1369841787

Information

Published: Fall 2011
First available in Project Euclid: 29 May 2013

zbMATH: 1269.53014
MathSciNet: MR3069286
Digital Object Identifier: 10.1215/ijm/1369841787

Subjects:
Primary: 53A10
Secondary: 49Q05, 53C42

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

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Vol.55 • No. 3 • Fall 2011
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