Rigidity of Asymptotically Hyperbolic Manifolds
By Yuguang Shi, G. Tian. 2004
46 citations recorded by the source corpus.
In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/92673593c36f15a8638414e07ce45164a136c98c
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In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds (2007, result): “We note, for comparison, that there have been some other recently obtained rigidity results for hyperbolic space [21, 4, 24, 7] that do not require a spin assumption, but these impose conditions on the Ricci curvature.”