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On para-Euler-Lagrange and para-Hamiltonian equations. (English) Zbl 1145.53304

Summary: In the framework of para-Kählerian manifolds, we introduce a paracomplex analogue of Euler-Lagrange and Hamiltonian equations. Furthermore, the geometric results on the related mechanical systems have been given.

MSC:

53B35 Local differential geometry of Hermitian and Kählerian structures
37J05 Relations of dynamical systems with symplectic geometry and topology (MSC2010)
70H05 Hamilton’s equations
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
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