On deformation of poisson manifolds of hydrodynamic type

Communications in Mathematical Physics

Volumn 253, Issue 1, 2005, Pages 1-24

  Degiovanni, Luca ^a   Magri, Franco ^b   Sciacca, Vincenzo ^c  

^a UNIVERSITY OF TURIN   (Italy)

^b UNIVERSITY OF MILANO BICOCCA   (Italy)

^c UNIVERSITY OF PALERMO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11244325832     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1190-8     Document Type: Article

References (9)

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2. Personal communication during the "Intensive INDAM two-month seminar on the Geometry of Frobenius manifolds", Milano, 2000. See also; B. Dubrovin, Y. Zhang,: Bi-Hamiltonian hierarchies in 2D topological field theory at one-loop approximation. Commun. Math. Phys. 198, 311-361 (1998)
3. Lichnerowicz, A.: Les varietes de Poisson et leurs algebres de Lie associees. I. Diff. Geom. 12, 253-300 (1977)
4. Magri, F., Morosi, C.: A Geometrical Characterization of integrable Hamiltonian Systems through the Theory of Poisson-Nijenhuis Manifolds. Quaderno S 19/1984 of the Department of Mathematics of the University of Milano
5. Tonti, E.: Inverse problem: its general solution. Differential geometry, calculus of variations, and their applications. In: Lecture Notes in Pure and Appl. Math. 100, Berlin-Heidelberg-New York: Springer, 1985, pp. 497-510
6. Vainberg, M.M.: Vatiational Methods for the Study of Nonlinear Operators. Holden-Day, 1964
7. Vaisman, I.: Lectures on the geometry of Poisson manifolds. Basel: Birkhäuser Verlag, 1994
8. Volterra, V.: Fonctions de lignes. Paris: Gauthier-Villars, 1913
9. Volterra, V.: Theory of functionals and of integral and integro-differential equations. New York: Dover Publications Inc., 1959