Spherical geometry and integrable systems

Matteo Petrera, Yuri B. Suris

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish
Pages (from-to)83-98
Number of pages16
JournalGeometriae Dedicata
Volume169
Issue number1
DOIs
StatePublished - Apr 2014
Externally publishedYes

Keywords

  • Cosine law
  • Discrete Darboux system
  • Euler top
  • Hirota-Kimura discretization
  • Integrable systems
  • Multidimensional consistency
  • Sine law
  • Spherical simplex
  • Spherical triangle

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