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Berard@ujf-grenoble.fr http://www-fourier.ujf-grenoble.fr/pberard/publications.html Levi Lopes de Lima Departamento de Matemm atica, Universidade Federal do Cearr a Campus do Pici
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Sincè is an arbitrary positive integer, we have that lim sup R!1 Ind(M R )=R is less than or equal to the value in the right hand side of (5
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In this paper we give the precise index growth for the embedded hypersurfaces of revolution with constant mean curvature (cmc) 1 in $\mathbb{R}^n$ (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.
Mathematische Zeitschrift – Springer Journals
Published: Jan 1, 2002
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