Spherical geometry and integrable systems
classification
🧮 math-ph
math.DGmath.DSmath.MPnlin.SI
keywords
sphericalsystemsintegrablesenseconsistencycosinedefinesdynamical
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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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