Rigidity of compact Riemannian spin Manifolds with Boundary

Details Rigidity of compact Riemannian spin Manifolds with Boundary Rigidity of compact Riemannian spin Manifolds with Boundary

2008-03-21

arxiv.org/abs/0803.3108v3

Letters in Mathematical Physics 86, 2-3 (2008) 177-192

Mathematics

Differential Geometry

English version of "G\'eom\'etrie spinorielle extrins\`eque et rigidit\'es", Corollary 6 in Section 3 added, to appear in Lett

Scientific paper

10.1007/s11005-008-0277-0

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}.

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