54 citations · 273 across the 53 of their papers we have counts for
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Conformal Schwarzian derivatives and conformally invariant quantization
Sofiane Bouarroudj
Let be a pseudo-Riemannian manifold. We propose a new approach for defining the conformal Schwarzian derivatives. These derivatives are 1-cocycles on the group of diffeomor…
Cohomology of groups of diffeomorphims related to the modules of differential operators on a smooth manifold
Sofiane Bouarroudj
Let be a manifold and be the cotangent bundle. We introduce a 1-cocycle on the group of diffeomorphisms of with values in the space of linear differential operators…
Fromula for the Projectively Invariant Quantization on Degree Three
Sofiane Bouarroudj
We give an explicit formula for the projectively invariant quantization map between the space of symbols of degree three and the space of third-order linear differential operators,…
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…