Scalar curvature rigidity of warped product spaces

Zhizhang Xie  (Texas A&M University)

9:05-10:05,August 2,2023   文附楼 (Wenfu Building) 219

Abstract:

In this talk, I will discuss two results on the scalar curvature rigidity for warped product spaces. The first result concerns the dihedral rigidity of compact submanifolds with polyhedral corners in warped product spaces. We emphasize that these submanifolds are not necessarily warped spaces themselves. The second result concerns the scalar curvature rigidity of incomplete noncompact warped product spaces. Both theorems answer positively the corresponding open questions of Gromov in all dimensions. The talk is based on joint work with Jinmin Wang.

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