Index growth of hypersurfaces with constant mean curvature

被引：8
|
作者：
Bérard, P
de Lima, LL
Rossman, W
机构：
[1] Univ Grenoble 1, CNRS, UMR 5582, Inst Fourier, F-38402 St Martin Dheres, France
[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
[3] Kobe Univ, Fac Sci, Dept Math, Kobe, Hyogo 6578501, Japan
来源：
MATHEMATISCHE ZEITSCHRIFT | 2002年 / 239卷 / 01期
关键词：
D O I：
10.1007/s002090100284
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give the precise index growth for the embedded hypersurfaces of revolution with constant mean curvature (cmc) I 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 I surfaces with properly embedded ends. Similar results are obtained for hypersurfaces with cmc bigger than I in hyperbolic space.
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页码：99 / 115
页数：17
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