Minimal surfaces in S3 with constant contact angle

被引：3
|
作者：
Montes, Rodrigo Ristow [1 ,2 ]
Verderesi, Jose A. [1 ,2 ]
机构：
[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil
[2] Univ Sao Paulo, Inst Matemat Estat, Dept Matemat Pura, BR-05315970 Sao Paulo, Brazil
来源：
MONATSHEFTE FUR MATHEMATIK | 2009年 / 157卷 / 04期
关键词：
Minimal surfaces; Clifford Torus; Three sphere; Contact angle; CLIFFORD TORUS;
D O I：
10.1007/s00605-008-0019-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a characterization of the Clifford Torus in S-3 via moving frames and contact structure equations. More precisely, we prove that minimal surfaces in S-3 with constant contact angle must be the Clifford Torus. Some applications of this result are then given, and some examples are discussed.
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页码：379 / 386
页数：8
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