The Gauss map of minimal surfaces in Berger spheres

被引：2
|
作者：
de Lira, Jorge H. S. [1 ]
Hinojosa, Jorge A. [2 ]
机构：
[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
[2] Univ Fed Rural Pernambuco, BR-52171900 Recife, PE, Brazil
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2010年 / 37卷 / 02期
关键词：
Berger spheres; Minimal surfaces; Harmonic maps; MEAN-CURVATURE SURFACES; HARMONIC MAPS; TORI;
D O I：
10.1007/s10455-009-9178-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that a pair of spinors satisfying a Dirac type equation represents surfaces immersed in Berger spheres with prescribed mean curvature. Using this, we prove that the Gauss map of a minimal surface immersed in a Berger sphere is harmonic. Conversely, we exhibit a representation of minimal surfaces in Berger spheres in terms of a given harmonic map. The examples we constructed appear in associated families.
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页码：143 / 162
页数：20
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