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Classification of the simplest diffeomorphisms of the sphereS2with one stability modulus

✍ Scribed by T. N. Mitryakova; O. V. Pochinka


Publisher
Springer US
Year
2009
Tongue
English
Weight
336 KB
Volume
158
Category
Article
ISSN
1573-8795

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Riemannian curvature on the group of are
✍ Kyo Yoshida πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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