REFERENCES
V. I. Arnol'd, Mathematical Methods of Classical Mechanics [in Russian], Nauka, Moscow (1974).
A. V. Bolsinov and A. T. Fomenko, Integrable Hamiltonian Systems, Vols. 1, 2, Izhevsk (1999).
T. L. Melekhina, “Construction of canonical coordinates on orbits of the co-adjoint representation of tensor extensions of Lie groups,” Mat. Zametki, 64,No. 2, 318–320 (1998).
J. Patera, R. T. Sharp, and P. Winternitz, “Invariants of real low dimension Lie algebras,” J. Math. Phys., 17,No. 6, 986–994 (1976).
V. V. Trofimov, “Generalized Maslov classes on the path space of a symplectic manifold,” Tr. Mat. Inst. Ross. Akad. Nauk, 205, 172–199, (1994).
V. V. Trofimov, “Geometry of differential forms on symplectic stratified manifolds,” in: Invariant Methods for Studying Structures of Geometry, Analysis, and Mathematical Physics on Manifolds, Proceedings of International Conference Dedicated to the 70th Birthday of G. F. Laptev [in Russian], TsPI, Moscow (1999), p. 49.
V. V. Trofimov, “Kähler angle on four-dimensional symplectic manifolds,” in this volume.
V. V. Trofimov and A. T. Fomenko, Algebra and Geometry of Integrable Hamiltonian Differential Equations [in Russian], Faktorial, Moscow (1995).
Rights and permissions
About this article
Cite this article
Trofimov, V.V., Selivanova, N.Y. Geometry of Poisson Structures and Topology of Lagrangian Submanifolds. Kähler Class. Journal of Mathematical Sciences 119, 684–690 (2004). https://doi.org/10.1023/B:JOTH.0000011593.54596.f5
Issue Date:
DOI: https://doi.org/10.1023/B:JOTH.0000011593.54596.f5