Entropy of embedded surfaces in quasi-fuchsian manifolds

2015/10/12 by Glorieux, Olivier
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.03246

Abstract

We compare critical exponent for quasi-Fuchsian groups acting on the hyperbolic 3-space, ℍ³, and on invariant disks embedded in ℍ³. We give a rigidity theorem for all embedded surfaces when the action is Fuchsian and a rigidity theorem for negatively curved surfaces when the action is quasi-Fuchsian.

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