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A shallow water equation as a geodesic flow on the Bott-Virasoro group

✍ Scribed by Gerard Misiołek

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 317 KB
Volume: 24
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(97)00010-7

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✦ Synopsis

The Camassa-Holm equation is shown to give rise to a geodesic flow of a certain right invariant metric on the Bott-Virasoro group. The sectional curvature of this metric is computed and shown to assume positive and negative signs.

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