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math.DG2023
Scalar curvature rigidity of parabolic convex polytopes in hyperbolic space
Xiaoxiang Chai, Xueyuan Wan
In odd dimensions, we prove a scalar curvature rigidity for parabolic convex polytopes in hyperbolic space enclosed by linear planes in the Poincare upper half-space model and conv…
math.DG2023
Spectral constant rigidity of warped product metrics
Xiaoxiang Chai, Juncheol Pyo, Xueyuan Wan
A theorem of Llarull says that if a smooth metric on the -sphere is bounded below by the standard round metric and the scalar curvature of is bounde…