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Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions
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Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions
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Journal Article
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions
2009
Overview
The EPDiff equation (or the dispersionless Camassa–Holm equation in one dimension) is a well-known example of geodesic motion
on the Diff group of smooth invertible maps (diffeomorphisms). Its recent two-component extension governs geodesic motion
on the semidirect product DiffⓈ
Publisher
The Royal Society
