51 citations · 102 across the 16 of their papers we have counts for
16 papers
The Gauss-Bonnet-Chern Center of Mass for Asymptotically Flat Manifolds
Marc Herzlich
In this paper we introduce a family of center of masses that complement the definition of the family of Gauss-Bonnet-Chern masses by Ge-Wang-Wu and Li-Nguyen. In order to prove the…
Computing asymptotic invariants with the Ricci tensor on asymptotically flat and hyperbolic manifolds
Marc Herzlich
We prove in a simple and coordinate-free way the equivalence bteween the classical definitions of the mass or the center of mass of an asymptotically flat manifold and their altern…
Universal positive mass theorems
Marc Herzlich
In this paper, we develop a general study of contributions at infinity of Bochner-Weitzenböck-type formulas on asymptotically flat manifolds, inspired by Witten's proof of the posi…
Parabolic geodesics as parallel curves in parabolic geometries
Marc Herzlich
We give a simple characterization of the parabolic geodesics introduced by Cap, Slovak and Zadnik for all parabolic geometries. This goes through the definition of a natural connec…
Unique continuation results for Ricci curvature and applications
Michael T. Anderson, Marc Herzlich
Unique continuation results are proved for metrics with prescribed Ricci curvature in the setting of bounded metrics on compact manifolds with boundary, and in the setting of compl…
The canonical Cartan bundle and connection in CR geometry
Marc Herzlich
We give a differential geometric description of the Cartan (or tractor) bundle and its canonical connection in CR geometry, thus offering a direct, alternative, definition to the u…