25 citations · 36 across the 2 of their papers we have counts for
2 papers
math.DG2008★ 25 cited
A Sobolev-like inequality for the Dirac operator
Simon Raulot
In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact Riemannian spin manifolds with a nearly optimal Sobolev constant. As an application, we…
math.DG2008★ 11 cited
Rigidity of compact Riemannian spin Manifolds with Boundary
Simon Raulot
In this article, we prove new rigidity results for compact Riemannian spin manifolds with boundary whose scalar curvature is bounded from below by a non-positive constant. In parti…