V. Ovsienko

activity

19952005

most citedDeforming the Lie algebra of vector fields on

S^{1}

inside the Poisson algebra on

T ˙^{*} S^{1}

53 citations · 122 across the 8 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.DG1999★ 8 cited

Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold

P. B. A. Lecomte, V. Yu. Ovsienko

Let $M$ be a smooth manifold, $S$ the space of polynomial on fibers functions on $T^{*} M$ (i.e., of symmetric contravariant tensor fields). We compute the first cohomology space…

math.DG1998★ 12 cited

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…