S. Bouarroudj

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19972004

most citedCohomology of the vector fields Lie algebras on RP^1 acting on bilinear differential operators

4 citations · 4 across the 1 of their papers we have counts for

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math.DG2004★ 4 cited

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…

math.DG2001

Projective and Conformal Schwarzian Derivatives and Cohomology of Lie Algebras Vector Fields Related to Differential Operators

Sofiane Bouarroudj

Let $M$ be either a projective manifold $(M, P i)$ or a pseudo-Riemannian manifold $(M, g) .$ We extend, intrinsically, the projective/conformal Schwarzian derivatives that we have int…

math.DG1998

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 $(M)$ of a smooth manifold $M$ endowed with a projective connection. This cocycle represents a nontrivial cohomology cl…