15 citations · 30 across the 4 of their papers we have counts for
4 papers
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…
Approximately Einstein ACH metrics, volume renormalization, and an invariant for contact manifolds
Neil Seshadri
To any smooth compact manifold endowed with a contact structure and partially integrable almost CR structure , we prove the existence and uniqueness, modulo high-order e…
Some notes on analytic torsion of the Rumin complex on contact manifolds
Neil Seshadri
We propose a definition for analytic torsion of the Rumin complex on contact manifolds. This is given by the derivative at zero of a well-chosen combination of zeta functions of a…
Volume renormalization for complete Einstein--Kähler metrics
Neil Seshadri
For a strictly pseudoconvex domain in a complex manifold we define a renormalized volume with respect to the approximately Einstein complete Kähler metric of Fefferman. We compute…