A two-component geodesic equation on a space of constant positive curvature
Differential Geometry
2015-05-30 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1109.2538,
title = {A two-component geodesic equation on a space of constant positive curvature},
author = {Jonatan Lenells and Zhao Yang},
journal= {arXiv preprint arXiv:1109.2538},
year = {2015}
}
Comments
14 pages, 1 figure