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Spherical geometry and integrable systems

2012/08/17 by Matteo Petrera, Yuri B. Suris · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.DG #math.DS #math.MP #nlin.SI

paper · pdf · doi:10.1007/s10711-013-9843-4

published as Geometriae Dedicata, v. 169, Nr. 1 (2014), pp. 83-98 · 15 pages, 5 figures

arxiv created 2012/08/17 · arxiv updated 2014/03/13

Abstract

We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems.

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