SURFACES IN R+3 WITH THE SAME GAUSSIAN CURVATURE INDUCED BY THE EUCLIDEAN AND HYPERBOLIC METRICS

被引：1

作者：

Barroso, Nilton ^{[1
]}

Roitman, Pedro ^{[1
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2015年 / 275卷 / 01期

关键词：

minimal surfaces; Euclidean geometry; hyperbolic geometry; Gaussian curvature; Monge-Ampere equations; MINIMAL-SURFACES;

D O I：

10.2140/pjm.2015.275.19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how to construct infinitely many immersions into the upper half-space such that the Gaussian curvatures induced from the ambient Euclidean and hyperbolic metrics coincide. We show how these immersions are related geometrically to classical minimal surfaces in Euclidean space and timelike minimal surfaces in Minkowski space.

引用

页码：19 / 37

页数：19

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