1 citations · 2 across the 4 of their papers we have counts for
8 papers
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…
Conformally flat manifolds with nonnegative Ricci curvature
Gilles Carron, Marc Herzlich
We show that complete conformally flat manifolds of dimension n>2 with nonnegative Ricci curvature enjoy nice rigidity properties: they are either flat, or locally isometric to a p…
Extremality for the Vafa-Witten bound on the sphere
Marc Herzlich
We prove that the round metric on the sphere has the largest first eigenvalue of the Dirac operator among all metrics that are larger than it. As a corollary, this gives an alterna…
A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds
Marc Herzlich
This note computes the "renormalized volume" and a renormalizedGauss-Bonnet-Chern formula for the Euler characteristic ofasymptotically complex hyperbolic Einstein (in short: ACHE)…
A Burns-Epstein invariant for ACHE 4-manifolds
Olivier Biquard, Marc Herzlich
We define a renormalized characteristic class for Einstein asymptotically complex hyperbolic (ACHE) manifolds of dimension 4: for any such manifold, the polynomial in the curvature…
The mass of asymptotically hyperbolic Riemannian manifolds
Piotr T. Chrusciel, Marc Herzlich
We present a set of global invariants, called "mass integrals", which can be defined for a large class of asymptotically hyperbolic Riemannian manifolds. When the "boundary at infi…