We prove that, given an acausal curve Γ in the boundary at infinity of AdS 3 which is the graph of a quasi-symmetric homeomorphism φ, there exists a unique foliation of its domain of dependence D(Γ) by constant mean curvature surfaces with bounded second fundamental form. Moreover, these surfaces provide a family of quasi-conformal extensions of φ.
Constant mean curvature foliation of domains of dependence in adS 3
Tamburelli A.
Primo
2019-01-01
Abstract
We prove that, given an acausal curve Γ in the boundary at infinity of AdS 3 which is the graph of a quasi-symmetric homeomorphism φ, there exists a unique foliation of its domain of dependence D(Γ) by constant mean curvature surfaces with bounded second fundamental form. Moreover, these surfaces provide a family of quasi-conformal extensions of φ.File in questo prodotto:
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