| Title:
|
Ito equation as a geodesic flow on $\widehat {\text{Diff}\sp {s}(S\sp 1) \bigodot C\sp {\infty }(S\sp 1)}$ (English) |
| Author:
|
Guha, Partha |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
305-312 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Bott-Virasoro Group |
| Keyword:
|
Ito equation |
| MSC:
|
35Q53 |
| MSC:
|
37K10 |
| MSC:
|
37K65 |
| MSC:
|
58D05 |
| idZBL:
|
Zbl 1049.37045 |
| idMR:
|
MR1811175 |
| . |
| Date available:
|
2008-06-06T22:26:25Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107745 |
| . |
| Reference:
|
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