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A two-component geodesic equation on a space of constant positive curvature
Authors:Jonatan Lenells  Zhao Yang
Institution:Department of Mathematics, Baylor University, One Bear Place #97328, Waco, TX 76798, USA
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.
Keywords:58D05  53C21
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