F -manifolds and integrable systems of hydrodynamic type

Paolo Lorenzoni; Marco Pedroni; Andrea Raimondo

Archivum Mathematicum (2011)

  • Volume: 047, Issue: 3, page 163-180
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Lorenzoni, Paolo, Pedroni, Marco, and Raimondo, Andrea. "$F$-manifolds and integrable systems of hydrodynamic type." Archivum Mathematicum 047.3 (2011): 163-180. <http://eudml.org/doc/247044>.

@article{Lorenzoni2011,
abstract = {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.},
author = {Lorenzoni, Paolo, Pedroni, Marco, Raimondo, Andrea},
journal = {Archivum Mathematicum},
keywords = {F-manifolds; Frobenius manifolds; integrable systems; PDEs of hydrodynamic type; -manifold; Frobenius manifold; integrable system; PDEs of hydrodynamic type},
language = {eng},
number = {3},
pages = {163-180},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {$F$-manifolds and integrable systems of hydrodynamic type},
url = {http://eudml.org/doc/247044},
volume = {047},
year = {2011},
}

TY - JOUR
AU - Lorenzoni, Paolo
AU - Pedroni, Marco
AU - Raimondo, Andrea
TI - $F$-manifolds and integrable systems of hydrodynamic type
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 3
SP - 163
EP - 180
AB - 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.
LA - eng
KW - F-manifolds; Frobenius manifolds; integrable systems; PDEs of hydrodynamic type; -manifold; Frobenius manifold; integrable system; PDEs of hydrodynamic type
UR - http://eudml.org/doc/247044
ER -

References

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