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• W1680218936 abstract "We consider a natural Riemannian metric on the infinite dimensional manifold of all embeddings from a manifold into a Riemannian manifold, and derive its geodesic equation in the case $Emb(Bbb R,Bbb R)$ which turns out to be Burgers' equation. Then we derive the geodesic equation, the curvature, and the Jacobi equation of a right invariant Riemannian metric on an infinite dimensional Lie group, which we apply to $Diff(Bbb R)$, $Diff(S^1)$, and the Virasoro-Bott group. Many of these results are well known, the emphasis is on conciseness and clarity." @default.
• W1680218936 created "2016-06-24" @default.
• W1680218936 creator A5017915374 @default.
• W1680218936 creator A5058692396 @default.
• W1680218936 date "1998-01-26" @default.
• W1680218936 modified "2023-09-27" @default.
• W1680218936 title "Curvature of the Virasoro-Bott group" @default.
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• W1680218936 hasPublicationYear "1998" @default.
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