Families of -symplectic metrics on full flag manifolds.
Fat bundles and formality
We prove the formality property of total spaces of fat bundles over compact homogeneous spaces. Some rational homotopy obstructions to fatness are obtained.
Fibrations in symplectic topology.
Field of cones on -covelocities vector bundle on a manifold.
Flat manifolds with non-zero Euler characteristics.
Fonctions presque holomorphes
Formality and the Lefschetz property in symplectic and cosymplectic geometry
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the Kähler/symplectic situation) and the b1 = 1 case (in the coKähler/cosymplectic situation).
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.
Fourier-like kernels in geometric quantization [Book]
Fredholm theory of holomorphic discs under the perturbation of boundary conditions.
Free CR distributions
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a discrete classification of the pointwise types of the homogeneous models. The cases of CR dimensions n and codimensions n 2 are among the very few possibilities of the so-called parabolic geometries. Indeed, the homogeneous model turns out to be PSU(n+1,n)/P with a suitable parabolic subgroup P. We study the geometric properties of such real (2n+n 2)-dimensional submanifolds in for all n > 1. In...
From the Eisenhart problem to Ricci solitons in -Kenmotsu manifolds.
Fundamental group of with no circle action
We show that can be nontrivial for that does not admit any symplectic circle action.