Rigidity of compact Riemannian spin Manifolds with Boundary
Differential Geometry
2009-03-10 v3
Abstract
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}.
Cite
@article{arxiv.0803.3108,
title = {Rigidity of compact Riemannian spin Manifolds with Boundary},
author = {Simon Raulot},
journal= {arXiv preprint arXiv:0803.3108},
year = {2009}
}
Comments
English version of "G\'eom\'etrie spinorielle extrins\`eque et rigidit\'es", Corollary 6 in Section 3 added, to appear in Letters Math. Phys