Conjugate points on the symplectomorphism group

DOI10.1007/s10455-015-9461-5zbMath1329.35228OpenAlexW2165650791MaRDI QIDQ494734

James Benn

Publication date: 2 September 2015

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-015-9461-5

zbMATH Keywords

Euler equationsHilbert manifoldgeodesichydrodynamicsconjugate pointFredholm mapdiffeomorphism groupplasma dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrodynamic stability (76E99) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Euler-Poisson-Darboux equations (35Q05) Spectral theory; eigenvalue problems on manifolds (58C40) Calculus on manifolds; nonlinear operators (58C99) Nonlinear operators and their properties (47H99)

Related Items (3)

The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary ⋮ Geometric hydrodynamics in open problems ⋮ The exponential map near conjugate points in 2D hydrodynamics

Cites Work

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• Hilbert Manifolds Without Epiconjugate Points

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