Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map

被引：1

作者：

Bektas, Burcu ^{[1
]}

Van der Veken, Joeri ^{[2
]}

Vrancken, Luc ^{[2
,3
]}

机构：

[1] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey

[2] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B,Box 2400, B-3001 Leuven, Belgium

[3] Univ Valenciennes, LAMAV, ISTV2, Campus Mt Houy, F-59313 Valenciennes 9, France

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2017年 / 52卷 / 01期

关键词：

Pseudo-sphere; Gauss map; Finite type map; Harmonic map; SUBMANIFOLDS;

D O I：

10.1007/s10455-017-9548-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a complete classification of Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere whose pseudo-spherical Gauss maps are of 1-type or, in particular, harmonic. In some cases a concrete global classification is obtained, while in other cases the solutions are described by an explicit system of partial differential equations.

引用

页码：45 / 55

页数：11

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