AN INTEGRAL INEQUALITY FOR COMPACT MAXIMAL SURFACES IN N-DIMENSIONAL DE SITTER SPACE AND ITS APPLICATIONS

被引：4

作者：

ALIAS, LJ

ROMERO, A

机构：

[1] UNIV MURCIA,DEPT MATEMAT,E-30100 ESPINARDO,SPAIN

[2] UNIV GRANADA,DEPT GEOMETRIA & TOPOL,E-18071 GRANADA,SPAIN

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 1995年 / 13卷 / 01期

关键词：

MAXIMAL SURFACES; DE SITTER SPACE;

D O I：

10.1007/BF00774561

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove an integral inequality for the Gaussian curvature of compact maximal surfaces in n-dimensional de Sitter space. Some applications of that inequality are given in order to solve the associated Bernstein type problem as well as to characterize the totally geodesic immersion in terms of its area and the first nontrivial eigenvalue of its Laplacian.

引用

页码：3 / 8

页数：6

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