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A mechanical connection on the group of volume-preserving diffeomorphisms

โœ Scribed by Yu. S. Baranov; Yu. E. Gliklikh


Publisher
Springer US
Year
1988
Tongue
English
Weight
280 KB
Volume
22
Category
Article
ISSN
0016-2663

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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