Constant angle surfaces in product spaces

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Dillen, Franki¹  Kowalczyk, Daniel¹ 

[1] Katholieke Univ Leuven, Dept Wiskunde, B-3001 Louvain, Belgium

关键词: Product spaces;    Constant angle;    Sine-Gordon equation;   

DOI  :  10.1016/j.geomphys.2012.01.015

来源: Elsevier

【 摘 要 】

We classify all the surfaces in M-2(c(1)) x M-2(c(2)) for which the tangent space TpM2 makes constant angles with T-p(M-2(c(1)) x {p(2)}) (or equivalently with T-p({p(1)} x M-2(c(2))) for every point p = (p(1), p(2)) of M-2. Here M-2(c(1)) and M-2(c(2)) are 2-dimensional space forms, not both flat. As a corollary we give a classification of all the totally geodesic surfaces in M-2(c(1)) x M-2(c(2)). (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free