A two-component geodesic equation on a space of constant positive curvature

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Lenells, Jonatan¹  Yang, Zhao¹ 

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

关键词: Curvature;    Geodesic flow;    Homogeneous space;    Nonlinear PDE;   

DOI  :  10.1016/j.geomphys.2011.11.009

来源: Elsevier

【 摘 要 】

We propose a new two-component geodesic equation with the unusual property that the underlying space has constant positive curvature. In the special case of one space dimension, the equation reduces to the two-component Hunter-Saxton equation. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free