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Hopf Solitons and Area-Preserving Diffeomorphisms of the Sphere

โœ Scribed by L. A. Ferreira; A. V. Razumov


Book ID
110295896
Publisher
Springer
Year
2001
Tongue
English
Weight
83 KB
Volume
55
Category
Article
ISSN
0377-9017

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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