On the curvature of the group of measure-preserving diffeomorphisms of ann-dimensional torus

DOI10.1070/RM1981v036n02ABEH002612zbMath0492.58009MaRDI QIDQ3954546

A. M. Lukatskij

Publication date: 1981

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

flows of an ideal incompressible fluid on the torussectional curvatures of the group of volume-preserving diffeomorphisms of the n-dimensional torus

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry (53C99) Incompressible inviscid fluids (76B99)

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