52 citations · 103 across the 8 of their papers we have counts for
4 papers · 1 filter
Topological and dynamical aspects of some spectral invariants of contact manifolds with circle action
Michel Rumin
We study analytic torsion and eta like invariants on CR contact manifolds of any dimension admitting a circle transverse action, and equipped with a unitary representation. We show…
Analytic torsions on contact manifolds
Michel Rumin, Neil Seshadri
We propose a definition for analytic torsion of the contact complex on contact manifolds. We show it coincides with Ray-Singer torsion on any 3-dimensional CR Seifert manifold equi…
Diabatic Limit, Eta Invariants and Cauchy-Riemann Manifolds of Dimension 3
Olivier Biquard, Marc Herzlich, Michel Rumin
We relate a recently introduced non-local geometric invariant of compact strictly pseudoconvex Cauchy-Riemann (CR) manifolds of dimension 3 to various eta-invariants in CR geometry…
Around heat decay on forms and relations of nilpotent Lie groups
Michel Rumin
One knows that the large time heat decay exponent on a nilpotent group is given by half the growing rate of the volume of its large balls. This work deals with the similar problem…