Spherical geometry and integrable systems
Mathematical Physics
2014-03-13 v1 Differential Geometry
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1208.3625,
title = {Spherical geometry and integrable systems},
author = {Matteo Petrera and Yuri B. Suris},
journal= {arXiv preprint arXiv:1208.3625},
year = {2014}
}
Comments
15 pages, 5 figures