Structure of the curvature tensor of the group of measure-preserving diffeomorphisms of a compact two-dimensional manifold

DOI10.1007/BF00972420zbMath0719.58004MaRDI QIDQ2640200

A. M. Lukatskij

Publication date: 1988

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

zbMATH Keywords

curvaturesmooth compact Riemannian manifoldgroup of measure preserving diffeomorphisms

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

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 ⋮ A note on the stability of geodesics on diffeomorphism groups with one-side invariant metric ⋮ Nonpositive curvature on the area-preserving diffeomorphism group

Cites Work

• Soliton sectors in continuous time lattice models
• Biinvariant metric on the group of diffeomorphisms of a three-dimensional manifold
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