A Hilbert-type theorem for spacelike surfaces with constant Gaussian curvature in ℍ2 × ℝ1

被引：0

作者：

Alma L. Albujer

Luis J. Alías

机构：

[1] Universidad de Alicante,Departamento de Estadística e Investigación Operativa

[2] Universidad de Murcia,Departamento de Matemáticas

来源：

Bulletin of the Brazilian Mathematical Society, New Series | 2009年 / 40卷

关键词：

Hilbert-type theorem; spacelike surfaces; Lorentzian product space; Gaussian curvature; Codazzi pairs; 53C42; 53C50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

There are examples of complete spacelike surfaces in the Lorentzian product ℍ2 × ℝ1 with constant Gaussian curvature K ≤ −1. In this paper, we show that there exists no complete spacelike surface in ℍ2 × ℝ1 with constant Gaussian curvature K > −1.

引用

页码：465 / 478

页数：13