The exponential map near conjugate points in 2D hydrodynamics

DOI10.1007/s40598-015-0019-1zbMath1329.58003OpenAlexW2214185536MaRDI QIDQ500659

Gerard Misiołek

Publication date: 5 October 2015

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

Full work available at URL: https://doi.org/10.1007/s40598-015-0019-1

zbMATH Keywords

conjugate pointsexponential mapdiffeomorphismsFredholm mapgroup of diffeomorphismsweak-Riemannian exponential mapweak-Riemannian metric

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Infinite-dimensional manifolds (46T05)

Related Items

Existence of a conjugate point in the incompressible Euler flow on an ellipsoid ⋮ The SQG equation as a geodesic equation ⋮ Riemannian Hilbert Manifolds ⋮ Conjugate point criteria on the area-preserving diffeomorphism group ⋮ Conjugate and cut points in ideal fluid motion

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