Curvature of groups of diffeomorphisms preserving the measure of the 2- sphere

DOI10.1007/BF01077484zbMath0455.58005MaRDI QIDQ1150190

A. M. Lukatskij

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

curvature of the group of volume preserving diffeomorphisms of the 2- spherediffeomorphisms of the 2-sphere preserving the standard densityflows of an ideal incompressible fluidlong-term dynamic weather forecasting

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry (53C99) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (3)

Riemannian curvature on the group of area-preserving diffeomorphisms (motions of fluid) of 2-sphere ⋮ Instability of planetary flows using Riemann curvature: a numerical study ⋮ Curvature and stability of quasi-geostrophic motion

Cites Work

• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
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