Engel structures with trivial characteristic foliations.
Engouffrement symplectique et intersections lagrangiennes.
Equivalence of Glancing Hypersurfaces.
Equivalence of Glancing Hypersurfaces. II.
Equivalence of Lagrangian germs in the presence of a surface
Errata d'articles antérieurs
Espace à structure conforme presque symplectique
Espace de twisteurs d’une variété presque hermitienne de dimension 6
On s’intéresse à l’espace de twisteurs réduit d’une variété presque hermitienne, en relisant un article de N.R.O’Brian et J.H.Rawnsley (Ann. Global Anal. Geom., 1985). On traite la question laissée ouverte de la dimension 6. Cet espace est muni d’une structure presque complexe en utilisant la distribution horizontale de la connexion hermitienne canonique. On montre qu’une condition nécessaire d’intégrabilité de est que la variété soit de type dans la classification de Gray et Hervella. Dans...
Estimates of the Kobayashi-Royden metric in almost complex manifolds
We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in and to give a sufficient condition for the complete hyperbolicity of a domain in .
Estudio de las variedades de contacto compactas que admiten una acción foliante.
Example of extrinsically homogeneous real hypersurface in .
Examples of compact complex manifolds with no Kahler structure
Examples of compact holomorphic symplectic mainfolds which are not Kählerian II.
Examples of stable compact symplectic foliations on compact symplectic manifolds
Examples of symplectic structures.
Existence of Holomorphic Functions on Almost Complex Manifolds.
Existence of -almost tangent structures
Existence of star-products on exact symplectic manifolds
It is shown that if a manifold admits an exact symplectic form, then its Poisson Lie algebra has non trivial formal deformations and the manifold admits star-products. The non-formal derivations of the star-products and the deformations of the Poisson Lie algebra of an arbitrary symplectic manifold are studied.
Exotic Deformations of Calabi-Yau Manifolds
We introduce Quantum Inner State manifolds (QIS manifolds) as (compact) -dimensional symplectic manifolds endowed with a -tamed almost complex structure and with a nowhere vanishing and normalized section of the bundle satisfying the condition .We study the moduli space of QIS deformations of a given Calabi-Yau manifold, computing its tangent space and showing that is non obstructed. Finally, we present several examples of QIS manifolds.