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math.DG2025
Rigidity results for initial data sets satisfying the dominant energy condition
Christian Baer, Simon Brendle, Tsz-Kiu Aaron Chow +1
Our work proves rigidity theorems for initial data sets associated with compact smooth spin manifolds with boundary and with compact convex polytopes, subject to the dominant energ…
math.DG2024
Scalar curvature rigidity of warped product metrics
Christian Baer, Simon Brendle, Bernhard Hanke +1
We show scalar-mean curvature rigidity of warped products of round spheres of dimension at least 2 over compact intervals equipped with strictly log-concave warping functions. This…