Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems

被引：67

作者：

Alias, LJ ^{[1
]}

Romero, A ^{[1
]}

Sanchez, M ^{[1
]}

机构：

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

来源：

TOHOKU MATHEMATICAL JOURNAL | 1997年 / 49卷 / 03期

关键词：

D O I：

10.2748/tmj/1178225107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Spacelike graphs of constant mean curvature over compact Riemannian manifolds in Lorentzian manifolds with constant sectional curvature are studied. The corresponding Calabi-Bernstein type problems are stated. In the case of nonpositive sectional curvature all their solutions are obtained, and for positive sectional curvature well-known results are extended.

引用

页码：337 / 345

页数：9

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