Lie algebras connected with associative ones
Lie group structures on groups of diffeomorphisms and applications to CR manifolds
We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.
Local density of diffeomorphisms with large centralizers
Given any compact manifold , we construct a non-empty open subset of the space of -diffeomorphisms and a dense subset such that the centralizer of every diffeomorphism in is uncountable, hence non-trivial.
Local Groups of Differentiable Transformations.
Local homology of groups of volume preserving diffeomorphisms. I
Local homology of groups of volume-preserving diffeomorphisms, II.
Local homology of groups of volume-preserving diffeomorphisms. III
Locally flat embeddings of Hilbert cubes are flat