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Flat Poisson manifolds and finite-dimensional pseudogroups

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Publication:1262601
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DOI10.1007/BF01158557zbMath0686.58043MaRDI QIDQ1262601

Mikhail V. Karasev

Publication date: 1989

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Poisson manifoldsymplectic manifoldpseudogroupflat linear connection


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Pseudogroups and differentiable groupoids (58H05)


Related Items (6)

The second best constant for the Hardy-Sobolev inequality on manifolds ⋮ Schrödinger-Poisson systems in \(4\)-dimensional closed manifolds ⋮ Sign-changing solutions for critical equations with Hardy potential ⋮ Connections on Lagrangian submanifolds and some quasiclassical approximation problems ⋮ Integral representations over isotropic submanifolds and equations of zero curvature ⋮ Klein-Gordon-Maxwell equations in high dimensions



Cites Work

  • The local structure of Poisson manifolds
  • Les variétés de Poisson et leurs algèbres de Lie associees
  • Symplectic groupoids and Poisson manifolds
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