Spherical Geometry and Integrable Systems

Matteo Petrera,Yuri B. Suris

Geometriae Dedicata（2014）SCI 4区

Institut für Mathematik

被引用16|浏览13

摘要

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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关键词

Spherical triangle,Spherical simplex,Cosine law,Sine law,Integrable systems,Multidimensional consistency,Discrete Darboux system,Euler top,Hirota–Kimura discretization,51M10,37J35,37K25,37K10