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- W3105500311 abstract "The geodesic equation for the right invariant $L^2$-metric (which is a weak Riemannian metric) on each Virasoro-Bott group is equivalent to the KdV-equation. We prove that the corresponding energy functional, when restricted to paths with fixed endpoints, has no local minima. In particular solutions of KdV don't define locally length-minimizing paths." @default.
- W3105500311 created "2020-11-23" @default.
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- W3105500311 date "2012-08-14" @default.
- W3105500311 modified "2023-09-23" @default.
- W3105500311 title "The energy functional on the Virasoro–Bott group with the L 2-metric has no local minima" @default.
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- W3105500311 doi "https://doi.org/10.1007/s10455-012-9350-0" @default.
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