d...-Cohomology of Lagrangian Foliations.
Sur une classe de complexes de cochaînes.
Complementary 2-forms of Poisson structures
The Bott Obstruction to the Existence of Nice Polarizations.
Geometric Quantization on Presymplectic Manifolds.
Sympletic Curvature Tensors.
Conormal Bundles with Vanishing Maslov Form.
Foliate Partial Holomorphic Structures on Principal Bundles.
Holomorphic structures and connections on differentiable fibre bundles.
Sur quelques formules du calcul de Ricci global.
Remarkable operators and commutation formulas on locally conformal Kähler manifolds
The BV-algebra of a Jacobi manifold
We show that the Gerstenhaber algebra of the 1-jet Lie algebroid of a Jacobi manifold has a canonical exact generator, and discuss duality between its homology and the Lie algebroid cohomology. We also give new examples of Lie bialgebroids over Poisson manifolds.
Aspects of Geometric Quantization Theory in Poisson Geometry
This is a survey exposition of the results of [14] on the relationship between the geometric quantization of a Poisson manifold, of its symplectic leaves and its symplectic realizations, and of the results of [13] on a certain kind of super-geometric quantization. A general formulation of the geometric quantization problem is given at the beginning.
Remarks on the Lichnerowicz-Poisson cohomology
The paper begins with some general remarks which include the Mayer-Vietoris exact sequence, a covariant version of the Lichnerowicz-Poisson cohomology, and the definition of an associated Serre-Hochshild spectral sequence. Then we consider the regular case, and we discuss the Poisson cohomology by using a natural bigrading of the Lichnerowicz cochain complex. Furthermore, if the symplectic foliation of the Poisson manifold is either transversally Riemannian or transversally symplectic, the spectral...
Remarks on the use of the stable tangent bundle in the differential geometry and in the unified field theory
A coordinatewise formulation of geometric quantization
The curvature groups of a space form
Basics of Lagrangian foliations.
The paper is an exposition of basic known local and global results on Lagrangian foliations such as the Theorem of Darboux-Lie, Weinstein, Arnold-Liouville, a global characterization of cotangent bundles, higher order Maslov classes, etc.
On some spaces which are covered by a product space
In this note, a topological version of the results obtained, in connection with the de Rham reducibility theorem (Comment. Math. Helv., 26 ( 1952), 328–344), by S. Kashiwabara (Tôhoku Math. J., 8 (1956), 13–28), (Tôhoku Math. J., 11 (1959), 327–350) and Ia. L. Sapiro (Izv. Bysh. Uceb. Zaved. Mat. no6, (1972), 78–85, Russian), (Izv. Bysh. Uceb. Zaved. Mat. no4, (1974), 104–113, Russian) is given. Thus a characterization of a class of topological spaces covered by a product space is obtained and the...
К геометрии многообразий флагов в симплектическом пространстве
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