Journal Articles Mathematische Zeitschrift Year : 2002

Index Growth of hypersurfaces with constant mean curvature

Pierre Bérard
Levi Lopes de Lima
  • Function : Author
Wayne Rossman
  • Function : Author

Abstract

In this paper we give the precise index growth for the embedded hypersurfaces of revolution with constant mean curvature (cmc) 1 in $\\R^{n}$ (Delaunay unduloids). When $n=3$, using the asymptotics result of Korevaar, Kusner and Solomon, we derive an explicit asymptotic index growth rate for finite topology cmc 1 surfaces with properly embedded ends. Similar results are obtained for hypersurfaces with cmc bigger than 1 in hyperbolic space.

Dates and versions

hal-00012248 , version 1 (18-10-2005)

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Pierre Bérard, Levi Lopes de Lima, Wayne Rossman. Index Growth of hypersurfaces with constant mean curvature. Mathematische Zeitschrift, 2002, 239,no.1, pp.99-115. ⟨hal-00012248⟩
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