Riemannian curvature on the group of are
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Kyo Yoshida
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Article
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1997
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Elsevier Science
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English
β 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