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arXiv · 1109.2538

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

Jonatan Lenells·Zhao Yang
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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.

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Jonatan Lenells, Zhao Yang. 2011-09-12. A two-component geodesic equation on a space of constant positive curvature. https://doi.org/10.1016/j.geomphys.2011.11.009

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