Abstract
We study some analytic properties of the hypoelliptic Laplacian of Jean-Michel Bismut, and more generally, of geometric Fokker-Planck operators P acting on the cotangent bundle Σ=T * X of a compact Riemannian manifold X. In particular, we prove a maximal hypoelliptic estimate for P, and we get bounds on the location of the spectrum of P.
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