Rigidity of compact Riemannian spin Manifolds with Boundary

Simon Raulot (1)

1 UNINE - Institut de Mathématiques

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 particular, we obtain generalizations of a result of Hang-Wang \cite{hangwang1} based on a conjecture of Schroeder and Strake \cite{schroeder}.

Mots clés: Manifolds with boundary; Dirac operators; Boundary Conditions; Rigidity

Domaines: Géométrie différentielle [math.DG]

Simon Raulot. Rigidity of compact Riemannian spin Manifolds with Boundary. Letters in Mathematical Physics, 2008, 86 (2-3), pp.177-192. ⟨10.1007/s11005-008-0277-0⟩. ⟨hal-00266078v3⟩