most citedA Sobolev-like inequality for the Dirac operator

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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…