Représentations des groupes de Lie compacts semi simples
Residual models for nonlinear partial differential equations.
Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form
We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, -slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.
Riemann maps in almost complex manifolds
We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish its main properties. These constructions are applied to study the local geometry of almost complex manifolds and their morphisms.
Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions
We consider an almost Kenmotsu manifold with the characteristic vector field ξ belonging to the (k,μ)’-nullity distribution and h’ ≠ 0 and we prove that is locally isometric to the Riemannian product of an (n+1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold, provided that is ξ-Riemannian-semisymmetric. Moreover, if is a ξ-Riemannian-semisymmetric almost Kenmotsu manifold such that ξ belongs to the (k,μ)-nullity distribution, we prove that is...
Rigid reparametrizations and cohomology for horocycle flows.
Rigidité du flot géodésique de certaines nilvariétés de rang deux
Robust transitivity in hamiltonian dynamics
A goal of this work is to study the dynamics in the complement of KAM tori with focus on non-local robust transitivity. We introduce open sets () of symplectic diffeomorphisms and Hamiltonian systems, exhibitinglargerobustly transitive sets. We show that the closure of such open sets contains a variety of systems, including so-calleda priori unstable integrable systems. In addition, the existence of ergodic measures with large support is obtained for all those systems. A main ingredient of...
Rounding corners of polygons and the embedded contact homology of .
R-torsion and zeta functions for locally symmetric manifolds.
Scalar differential invariants of symplectic Monge-Ampère equations
All second order scalar differential invariants of symplectic hyperbolic and elliptic Monge-Ampère equations with respect to symplectomorphisms are explicitly computed. In particular, it is shown that the number of independent second order invariants is equal to 7, in sharp contrast with general Monge-Ampère equations for which this number is equal to 2. We also introduce a series of invariant differential forms and vector fields which allow us to construct numerous scalar differential invariants...
Scattering matrix for asymptotically euclidean manifolds
Schwarzian derivatives of contact diffeomorphisms.
Second order linear differential systems
Second order parallel tensors on generalized Sasakian space forms and semi parallel hypersurfaces in Sasakian space forms.
Secondary characteristic classes for the isotropic Grassmannian
Second-order conformally equivariant quantization in dimension .
Seiberg-Witten invariants and pseudo-holomorphic subvarieties for self-dual, harmonic 2-forms.
Self-Similarity of Poisson structures on tori
We study the group of diffeomorphisms of a 3-dimensional Poisson torus which preserve the Poisson structure up to a constant multiplier, and the group of similarity ratios.
Separation of variables in the quantum integrable models related to the Yangian