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On the curvature of the diffeomorphisms group

โœ Scribed by Alexander M. Lukatsky


Publisher
Springer
Year
1993
Tongue
English
Weight
236 KB
Volume
11
Category
Article
ISSN
0232-704X

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Riemannian curvature on the group of are
โœ Kyo Yoshida ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 567 KB

Euler's equation for an incompressible fluid filled in a Riemannian manifold D is regarded as a geodesic equation on the group of volume-preserving diffeomorphisms of D provided with a one-sided invariant metric. A negative sectional curvature implies instability of the geodesic with respect to the