Ito equation as a geodesic flow on $\widehat {\text{Diff}\sp {s}(S\sp 1) \bigodot C\sp {\infty }(S\sp 1)}$
Guha, Partha
Archivum Mathematicum, Tome 036 (2000), p. 305-312 / Harvested from Czech Digital Mathematics Library
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The Ito equation is shown to be a geodesic flow of $L^2$ metric on the semidirect product space ${\widehat{{\it Diff}^s(S^1) \bigodot C^{\infty }(S^1)}}$, where ${\it Diff}^s(S^1)$ is the group of orientation preserving Sobolev $H^s$ diffeomorphisms of the circle. We also study a geodesic flow of a $H^1$ metric.

Publié le : 2000-01-01
Classification:  35Q53,  37K10,  37K65,  58D05 
@article{107745,
     author = {Partha Guha},
     title = {Ito equation as a geodesic flow on $\widehat {\text{Diff}\sp {s}(S\sp 1) \bigodot C\sp {\infty }(S\sp 1)}$},
     journal = {Archivum Mathematicum},
     volume = {036},
     year = {2000},
     pages = {305-312},
     zbl = {1049.37045},
     mrnumber = {1811175},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107745}
}

Guha, Partha. Ito equation as a geodesic flow on $\widehat {\text{Diff}\sp {s}(S\sp 1) \bigodot C\sp {\infty }(S\sp 1)}$. Archivum Mathematicum, Tome 036 (2000) pp. 305-312. http://gdmltest.u-ga.fr/item/107745/

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