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.
On the geodesics flow of tori without conjugate points.
On the geometric prequantization of brackets.
En este artículo se considera un marco general para la precuantización geométrica de una variedad provista de un corchete que no es necesariamente de Jacobi. La existencia de una foliación generalizada permite definir una noción de fibrado de precuantización. Se estudia una aproximación alternativa suponiendo la existencia de un algebroide de Lie sobre la variedad. Se relacionan ambos enfoques y se recuperan los resultados conocidos para variedades de Poisson y Jacobi.
On the geometry of the standard -symplectic and Poisson manifolds.
On the index theorem for symplectic orbifolds
We give an explicit construction of the trace on the algebra of quantum observables on a symplectiv orbifold and propose an index formula.
On the integrability of orthogonal distributions in Poisson manifolds.
On the Lengths of Closed Geodesics on Almost Round Spheres.
On the linearization theorem for proper Lie groupoids
We revisit the linearization theorems for proper Lie groupoids around general orbits (statements and proofs). In the fixed point case (known as Zung’s theorem) we give a shorter and more geometric proof, based on a Moser deformation argument. The passage to general orbits (Weinstein) is given a more conceptual interpretation: as a manifestation of Morita invariance. We also clarify the precise statements of the Linearization Theorem (there has been some confusion on this, which has propagated throughout...
On the normality of an almost contact -structure on -submanifolds
We study -dimensional -submanifolds of -dimension immersed in a quaternionic space form , , and, in particular, determine such submanifolds with the induced normal almost contact -structure.