Index Growth of hypersurfaces with constant mean curvature
Differential Geometry
2019-10-07 v1 Mathematical Physics
math.MP
Abstract
In this paper we give the precise index growth for the embedded hypersurfaces of revolution with constant mean curvature (cmc) 1 in (Delaunay unduloids). When , 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.
Keywords
Cite
@article{arxiv.math/0011039,
title = {Index Growth of hypersurfaces with constant mean curvature},
author = {Pierre Bérard and Levi Lopes de Lima and Wayne Rossman},
journal= {arXiv preprint arXiv:math/0011039},
year = {2019}
}
Comments
13 pages, to appear in Mathematische Zeitschrift