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

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

2011-09-12

arxiv.org/abs/1109.2538v1

Mathematics

Differential Geometry

14 pages, 1 figure

Scientific paper

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.

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