Geometry of projective plane and Poisson structure

DOI10.1016/j.geomphys.2009.02.005zbMath1166.51013OpenAlexW2014212704MaRDI QIDQ1017434

Toshio Tomihisa

Publication date: 19 May 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.02.005

zbMATH Keywords

Jacobi identityPoisson bracketde Sitter worldLobachevsky plane

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Projective analytic geometry (51N15)

Related Items (5)

Arnold's projective plane and \(r\)-matrices ⋮ Projective Configuration Theorems: Old Wine into New Wineskins ⋮ Geometry of linear and angular momenta of \(N\)-particles in the Riemannian space forms and de Sitter space ⋮ Projective geometry from Poisson algebras ⋮ Skewers

Cites Work

• Lobachevsky triangle altitudes theorem as the Jacobi identity in the Lie algebra of quadratic forms on symplectic plane

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