3,402 research outputs found
Cohomology of groups of diffeomorphims related to the modules of differential operators on a smooth manifold
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 acting on When is the
-dimensional sphere, , we use this 1-cocycle to compute the
first-cohomology group of the group of diffeomorphisms of , with
coefficients in the space of linear differential operators acting on
contravariant tensor fields.Comment: arxiv version is already officia
On the manifold structure of the set of unparameterized embeddings with low regularity
Given manifolds and , with compact, we study the geometrical
structure of the space of embeddings of into , having less regularity
than , quotiented by the group of diffeomorphisms of .Comment: To appear in the Bulletin of the Brazilian Mathematical Societ
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