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math.DG1999
Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold
P. B. A. Lecomte, V. Yu. Ovsienko
Let be a smooth manifold, the space of polynomial on fibers functions on (i.e., of symmetric contravariant tensor fields). We compute the first cohomology space…
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 of a smooth manifold endowed with a projective connection. This cocycle represents a nontrivial cohomology cl…