| Title:
|
$F$-manifolds and integrable systems of hydrodynamic type (English) |
| Author:
|
Lorenzoni, Paolo |
| Author:
|
Pedroni, Marco |
| Author:
|
Raimondo, Andrea |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
2011 |
| Pages:
|
163-180 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the role of Hertling-Manin condition on the structure constants of an associative commutative algebra in the theory of integrable systems of hydrodynamic type. In such a framework we introduce the notion of $F$-manifold with compatible connection generalizing a structure introduced by Manin. (English) |
| Keyword:
|
F-manifolds |
| Keyword:
|
Frobenius manifolds |
| Keyword:
|
integrable systems |
| Keyword:
|
PDEs of hydrodynamic type |
| MSC:
|
35Q35 |
| MSC:
|
53B05 |
| MSC:
|
53D45 |
| idZBL:
|
Zbl 1249.35267 |
| idMR:
|
MR2852379 |
| . |
| Date available:
|
2011-11-11T08:50:10Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141704 |
| . |
| Reference:
|
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