The Dirac operator on spaces with conical singularities and positive scalar curvatures
The Dirac operator on spaces with conical singularities and positive scalar curvatures
We study, in the spirit of Jeff Cheeger, the Dirac operator on a space with conical singularities. We obtain a Bochner-type vanishing theorem and prove an index theorem in the singular case. Also, the relationship with manifolds with boundary is explored. In the Appendix two methods of deforming the metric …