Contact structures on (n-1)-connected (2n+1)-manifolds
Coverings of stably parallelizable manifolds
Curvature of lift spaces
Donaldson invariants of certain symplectic manifolds.
Donaldson series and (-1)-tori.
Equivalence classes of Fields of 2-planes and two kinds of almost complex structures on compact four-dimensional manifolds.
Equivariantly parallelizable manifolds.
Examples of parallel spin-tensors.
Examples of symplectic structures.
Fibered cusp versus -index theory
Foliations and spinnable structures on manifolds
In this paper we study a new structure, called a spinnable structure, on a differentiable manifold. Roughly speaking, a differentiable manifold is spinnable if it can spin around a codimension 2 submanifold, called the axis, as if the top spins.The main result is the following: let be a compact -connected -dimensional differentiable manifold , then admits a spinnable structure with axis . Making use of the codimension-one foliation on , this yields that admits a codimension-foliation.
Forme de contact sur la somme connexe de deux variétés de contact de dimension impaire
On donne une construction de formes de contact sur toute variété décomposable en somme connexe de variétés de contact en toute dimension.
Generalized Flag Manifolds As Framed Boundaries.
Generalized symplectic rational blowdowns.
Geometric interpretations of the generalized Hopf invariant.
Geometric Structures in Bundlesof Associative Algebras
The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.
Geometry of Cyclic and Anticylic Algebras
The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
Groups of transformations of a G-structure whic H leave invariant a substructure.
Homotopie régulière inactive et engouffrement symplectique
Une homotopie régulière , , dans une variété symplectique est dite inactive si en chaque point le déplacement infinitésimal est -orthogonal à l’espace tangent de l’objet déplacé. Si est un polyèdre de de dimension et si est un ouvert de , toute homotopie de jusqu’à est déformable en une homotopie régulière inactive. On donne une application à l’engouffrement en géométrie symplectique.
Homotopy Equivaleces of Almost Smooth Manifolds