Biinvariant metric on the group of diffeomorphisms of a three-dimensional manifold

DOI10.1007/BF00968805zbMath0533.58008MaRDI QIDQ789794

Nicolai Konstantinovich Smolentsev

Publication date: 1983

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

zbMATH Keywords

Euler equationsignatureEta-invariantrotation of vector field

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Nilpotent and solvable Lie groups (22E25) Differential forms in global analysis (58A10)

Related Items (3)

Structure of the curvature tensor of the group of measure-preserving diffeomorphisms of a compact two-dimensional manifold ⋮ Curvatures of the diffeomorphism group and the space of volume elements ⋮ On Euler-Arnold equations and totally geodesic subgroups

Cites Work

• Groups of diffeomorphisms and the motion of an incompressible fluid
• Spectral asymmetry and Riemannian Geometry. I

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