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math.DG2022
Positive scalar curvature -- constructions and obstructions
Stephan Stolz
This is a survey of the current state of the question "Which closed connected manifolds of dimension admit Riemannian metrics whose scalar curvature function is everywhere…
math.DG2018
An invariant related to the existence of conformally compact Einstein fillings
Matthew J. Gursky, Qing Han, Stephan Stolz
We define an invariant for compact spin manifolds of dimension equipped with a metric of positive Yamabe invariant on its boundary. The vanishing of this invariant is…