Pseudoholomorphic strips in symplectisations I : asymptotic behavior
Pseudosymmetric and Weyl-pseudosymmetric -contact metric manifolds
In this paper we classify pseudosymmetric and Ricci-pseudosymmetric -contact metric manifolds in the sense of Deszcz. Next we characterize Weyl-pseudosymmetric -contact metric manifolds.
Quaternionic contact structures in dimension
The conformal infinity of a quaternionic-Kähler metric on a -manifold with boundary is a codimension distribution on the boundary called quaternionic contact. In dimensions greater than , a quaternionic contact structure is always the conformal infinity of a quaternionic-Kähler metric. On the contrary, in dimension , we prove a criterion for quaternionic contact structures to be the conformal infinity of a quaternionic-Kähler metric. This allows us to find the quaternionic-contact structures...
Recollement de variétés de contact tendues
Rectificatif à l'article «Recollement de variétés de contact tendues»
Reduction in contact geometry.
Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation
We define a procedure of reduction of locally conformal symplectic structures. We find a necessary and sufficient condition for this reduction to hold in terms of a special kind of de Rham cohomology class (tangent to the characteristic foliation) of the Lee form.
Residual models for nonlinear partial differential equations.
Schwarzian derivatives of contact diffeomorphisms.
Second order parallel tensors on generalized Sasakian space forms and semi parallel hypersurfaces in Sasakian space forms.
Special directions in complex contact manifolds.
Special spinors and contact geometry.
Submanifolds of -structure manifold satisfying .
Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry
We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.
The BV-algebra of a Jacobi manifold
We show that the Gerstenhaber algebra of the 1-jet Lie algebroid of a Jacobi manifold has a canonical exact generator, and discuss duality between its homology and the Lie algebroid cohomology. We also give new examples of Lie bialgebroids over Poisson manifolds.
The discriminant and oscillation lengths for contact and Legendrian isotopies
We define an integer-valued non-degenerate bi-invariant metric (the discriminant metric) on the universal cover of the identity component of the contactomorphism group of any contact manifold. This metric has a very simple geometric definition, based on the notion of discriminant points of contactomorphisms. Using generating functions we prove that the discriminant metric is unbounded for the standard contact structures on and . On the other hand we also show by elementary arguments that the...
Three dimensional contact metric manifolds with vanishing Jacobi operator.
Three-dimensional complex homogeneous complex contact manifolds.
Three-dimensional slant submanifolds of -contact manifolds.
Universal prolongation of linear partial differential equations on filtered manifolds
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type. This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.