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Generalized Hunter–Saxton equation and the geometry of the group of circle diffeomorphisms

✍ Scribed by Boris Khesin; Jonatan Lenells; Gerard Misiołek

Publisher
Springer
Year
2008
Tongue
English
Weight
450 KB
Volume
342
Category
Article
ISSN
0025-5831

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Geometry of the group Diff(S1) of diffeo
Geometry of the group Diff(S1) of diffeomorphisms of the circle. Vector fields with divergence zero on the group of diffeomorphisms of the two dimensional torus
✍ H. Airault 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 175 KB

## Abstract After summarizing some results on the group of diffeomorphisms of the circle Diff(S^1^), we consider the group of diffeomorphisms of the two dimensional torus Diff(S^1^ × S^1^). We give an expression for the bracket of vector fields on this group. With the trigonometric functions sin an