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• W3044194619 abstract "In this note, we establish the dihedral rigidity phenomenon for a collection of parabolic polyhedrons enclosed by horospheres in hyperbolic manifolds, extending Gromov's comparison theory to metrics with negative scalar curvature lower bounds. Our result is a localization of the positive mass theorem for asymptotically hyperbolic manifolds. We also motivate and formulate some open questions concerning related rigidity phenomenon and convergence of metrics with scalar curvature lower bounds." @default.
• W3044194619 created "2020-07-29" @default.
• W3044194619 creator A5003753200 @default.
• W3044194619 date "2020-10-06" @default.
• W3044194619 modified "2023-09-29" @default.
• W3044194619 title "Dihedral Rigidity of Parabolic Polyhedrons in Hyperbolic Spaces" @default.
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• W3044194619 doi "https://doi.org/10.3842/sigma.2020.099" @default.
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