Curvature of the classical diffeomorphism groups

DOI10.1007/BF02104943zbMath0833.53027OpenAlexW2046838141MaRDI QIDQ1897974

Nicolai Konstantinovich Smolentsev

Publication date: 20 September 1995

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

Full work available at URL: https://doi.org/10.1007/bf02104943

zbMATH Keywords

Hamiltonian vector fieldsectional curvaturediffeomorphism groupscontact vector field

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (4)

Fredholm properties of Riemannian exponential maps on diffeomorphism groups ⋮ Diffeomorphism groups of compact manifolds ⋮ Geometry of the contactomorphism group ⋮ Riemannian geometry of the contactomorphism group

Cites Work

• On a constrained variational problem and the space of horizontal paths
• Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles
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