Géométrie spinorielle extrinsèque et rigidités

Simon Raulot (1)

1 UNINE - Institut de Mathématiques

In this article, we prove some rigidity results for compact Riemannian spin manifolds with boundary with scalar curvature bounded from below by a non-positive constant. Some of these statements are allready known but their proof rely on strong resluts: some positive mass theorems. We present here a direct approach which avoid this step.

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

Domaines: Géométrie différentielle [math.DG]

Simon Raulot. Géométrie spinorielle extrinsèque et rigidités. 2008. ⟨hal-00266078v1⟩