Connections on distributions and geodesic sprays

DOI10.3103/S1066369X13040026zbMath1268.53014MaRDI QIDQ353929

S. V. Galaev, A. V. Bukusheva

Publication date: 16 July 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian vector fieldcontact structureReeb vector fieldsymplectic structuregeodesic spraysemispray

Mathematics Subject Classification ID

Almost contact and almost symplectic manifolds (53D15) Other connections (53B15) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (6)

KENMOTSU MANIFOLDS WITH A ZERO CURVATURE DISTRIBUTION ⋮ Geometric interpretation of the Wagner curvature tensor in the case of a manifold with contact metric structure ⋮ On the Schouten and Wagner curvature tensors ⋮ Extended Structures on Codistributions of Contact Metric Manifolds ⋮ Almost Contact Metric Spaces with N-connection ⋮ Classification of Prolonged Bi-metric Structures on Distributions of Non-zero Curvature of Sub-Riemannian Manifolds

Cites Work

• An extension of Hamiltonian systems to the thermodynamic phase space: towards a geometry of nonreversible processes
• Structure presque tangente et connexions. I
• Structure presque tangente et connexions. II
• Metric nonlinear connections
• The Intrinsic Geometry of Almost Contact Metric Manifolds
• HAMILTONIAN FIELDS AND ENERGY IN CONTACT MANIFOLDS
• A COMPLETE LIFT FOR SEMISPRAYS
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