On Solvable Generalized Calabi-Yau Manifolds
We give an example of a compact 6-dimensional non-Kähler symplectic manifold that satisfies the Hard Lefschetz Condition. Moreover, it is showed that is a special generalized Calabi-Yau manifold.
On some completions of the space of hamiltonian maps
In one of his papers, C. Viterbo defined a distance on the set of Hamiltonian diffeomorphisms of endowed with the standard symplectic form . We study the completions of this space for the topology induced by Viterbo’s distance and some others derived from it, we study their different inclusions and give some of their properties. In particular, we give a convergence criterion for these distances that allows us to prove that the completions contain non-ordinary elements, as for example, discontinuous...
On some properties of induced almost contact structures
Real affine hypersurfaces of the complex space with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given.
On some spaces of linear functionals on the algebras for locally compact groups
On some symplectic quotients of Schubert varieties.
On some types of slant curves in contact pseudo-Hermitian 3-manifolds
We study slant curves in contact Riemannian 3-manifolds with pseudo-Hermitian proper mean curvature vector field and pseudo-Hermitian harmonic mean curvature vector field for the Tanaka-Webster connection in the tangent and normal bundles, respectively. We also study slant curves of pseudo-Hermitian AW(k)-type.
On submanifolds and quotients of Poisson and Jacobi manifolds
We obtain conditions under which a submanifold of a Poisson manifold has an induced Poisson structure, which encompass both the Poisson submanifolds of A. Weinstein [21] and the Poisson structures on the phase space of a mechanical system with kinematic constraints of Van der Schaft and Maschke [20]. Generalizations of these results for submanifolds of a Jacobi manifold are briefly sketched.
On symmetries and constants of motion in Hamiltonian systems with nonholonomic constraints
On symplectic fillings.
On the classical and quantum evolution of lagrangian half-forms in phase space
On the classification of tight contact structures. I.
On the concircular curvature tensor of a -manifold.
On the construction of a -counterexample to the Hamiltonian Seifert conjecture in .
On the creation of conjugate points.
On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows
On the Entropy of the Geodesic Flow in Manifolds Without Conjugate Points.
On the Ergodicity of Frame Flows.
On the existence of escaping geodesics.
On the Floer homology of plumbed three-manifolds.
On the generalized Maxwell-Bloch equations.