51 citations · 102 across the 16 of their papers we have counts for
Showing 2004Show all
3 papers · 1 filter
math.DG2004★ 1 cited
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…
math.DG2004
An invariant of Cauchy-Riemann Seifert 3-manifolds and applications
Olivier Biquard, Marc Herzlich
We compute a recently introduced geometric invariant of stricly pseudoconvex CR 3-manifolds for certain circle invariant spherical CR structures on Seifert manifolds. We give appli…
math.DG2004
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…