most citedScalar curvature rigidity of warped product metrics

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math.DG2023★ 6 cited

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…

math.DG2023

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…