4 citations · 4 across the 1 of their papers we have counts for
5 papers
Cohomology of the vector fields Lie algebras on RP^1 acting on bilinear differential operators
Sofiane Bouarroudj
The main topic of this paper is two folds. First, we compute the first relative cohomology group of the Lie algebra of smooth vector fields on the projective line, Vect(RP^1), with…
Projectively Invariant Cocycles of Holomorphic Vector Fields on an Open Riemann Surface
S. Bouarroudj, H. Gargoubi
Let be an open Riemann surface and be the Lie algebra of holomorphic vector fields on We fix a projective structure (i.e. a local structure) on We…
Projective and Conformal Schwarzian Derivatives and Cohomology of Lie Algebras Vector Fields Related to Differential Operators
Sofiane Bouarroudj
Let be either a projective manifold or a pseudo-Riemannian manifold We extend, intrinsically, the projective/conformal Schwarzian derivatives that we have int…
Schwarzian derivative related to modules of differential operators on a locally projective manifold
S. Bouarroudj, V. Ovsienko
We introduce a 1-cocycle on the group of diffeomorphisms Diff of a smooth manifold endowed with a projective connection. This cocycle represents a nontrivial cohomology cl…
Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
S. Bouarroudj, V. Ovsienko
The first group of differentiable cohomology of $\Diff(S^1)$, vanishing on the Möbius subgroup $PSL(2,R)\subset\Diff(S^1)$, with coefficients in modules of linear differential oper…