Principle of Maupertuis

DOI10.1007/BF00971842zbMath0477.58007MaRDI QIDQ1160961

Nicolai Konstantinovich Smolentsev

Publication date: 1979

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

zbMATH Keywords

geodesicscontinuity equation for the densityEuler equation for the motion of the liquidflows of ideal barotropic fluidgroup of smooth diffeomorphisms on a closed smooth Riemannian manifoldkinetic and total energies of a flowweak Riemannian structure with torsionless connection

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesics in global differential geometry (53C22) Incompressible inviscid fluids (76B99) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

Spaces of Riemannian metrics ⋮ Diffeomorphism groups of compact manifolds ⋮ Geometric hydrodynamics and infinite-dimensional Newton’s equations

Cites Work

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