Weingarten Type Surfaces in H2 x R and S2 x R

被引：2

作者：

Folha, Abigail ^{[1
]}

Penafiel, Carlos ^{[2
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat & Estat, Dept Geometria, Niteroi, RJ, Brazil

[2] Univ Fed Rio de Janeiro, Inst Matemat & Estat, Dept Metodos, Rio De Janeiro, RJ, Brazil

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2017年 / 69卷 / 06期

关键词：

Weingarten surface; extrinsic curvature; intrinsic curvature; height estimate; rotational Weingarten surface; MEAN-CURVATURE SURFACES; CONSTANT ANGLE SURFACES;

D O I：

10.4153/CJM-2016-054-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study complete surfaces Sigma, isometrically immersed in the product spaces H-2 x R or S-2 x R having positive extrinsic curvature K-e. Let K-i denote the intrinsic curvature of Sigma. Assume that the equation aK(i) + bK(e) = c holds for some real constants a not equal b > 0, and c. The main result of this article states that when such a surface is a topological sphere, it is rotational.

引用

页码：1292 / 1311

页数：20

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