INDEX AND TOTAL CURVATURE OF SURFACES WITH CONSTANT MEAN-CURVATURE

被引：8

作者：

DOCARMO, MP

DASILVEIRA, AM

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1990年 / 110卷 / 04期

关键词：

D O I：

10.2307/2047750

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an analogue, for surfaces with constant mean curvature in hyperbolic space, of a theorem of Fischer-Colbrie and Gulliver about minimal surfaces in Euclidean space. That is, for a complete surface M2 in hyperbolic 3-space with constant mean curvature 1, the (Morse) index of the operator L = delta - 2K is finite if and only if the total Gaussian curvature is finite.

引用

页码：1009 / 1015

页数：7