paper

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

arXiv:1109.2538 · doi:10.1016/j.geomphys.2011.11.009

Abstract

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.

14 pages, 1 figure

References in corpus (5)