Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability
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DOI: 10.1134/s1560354718050106
Abstract: This paper is concerned with the problem of three vortices on a sphere S2 and the Lobachevsky plane L2. After reduction, the problem reduces in both cases to investigating a Hamiltonian system with a degenerate… read more here.
Keywords: reduction; poisson geometry; vortices spaces; geometry ... See more keywords