Symplectic transformations of the differential geometry of

DOI10.1016/S0362-546X(98)00095-9zbMath0959.53044OpenAlexW2078000963WikidataQ115339140 ScholiaQ115339140MaRDI QIDQ4239777

Dragoş Hrimiuc, Peter L. Antonelli

Publication date: 9 April 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00095-9

zbMATH Keywords

nonlinear connectionalmost product structuresymplectic transformation

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other connections (53B15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

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• Homogeneous contact transformations
• The theory of sprays and Finsler spaces with applications in physics and biology
• The geometry of Lagrange spaces: theory and applications
• Homogeneous contact structures
• On almost cotangent structures
• Invariant theory of homogeneous contact transformations
• Tensor decomposition with applications to the contact and complex groups
• Finsler spaces derived from Riemann spaces by contact transformations
• On the invariant theory of contact transformations
• Contact tensor calculus

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