50 citations
5 papers
A Proof of Gromov's Algebraic Lemma
David Burguet
Following the analysis of differentiable mappings of Y. Yomdin, M. Gromov has stated a very elegant "Algebraic Lemma" which says that the "differentiable size" of an algebraic subs…
On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows
Claude Viterbo
We show that if a sequence of Hamiltonian flows has a limit, and if the generating Hamiltonians of the sequence have a limit, then this limit is uniquely determned by the lim…
Relative modular classes of Lie algebroids
Yvette Kosmann-Schwarzbach, Alan Weinstein
We study the relative modular classes of Lie algebroids, and we determine their relationship with the modular classes of Lie algebroids with a twisted Poisson structure.
Rigidity of amalgamated product in negative curvature
Gerard Besson, Gilles Courtois, Sylvain Gallot
Let be the fundamental group of a compact n-dimensional riemannian manifold X of sectional curvature bounded above by -1. We suppose that is a free product of its subgroup…
Dirac operators and Lie algebra cohomology
Jing-Song Huang, Pavle Pandžić, David Renard
Dirac cohomology is a new tool to study unitary and admissible representations of semisimple Lie groups. It was introduced by Vogan and further studied by Kostant and ourselves \ci…