Moduli of Flat Conformal Structures of Hyperbolic Type
نویسنده
چکیده
To each flat conformal structure (FCS) of hyperbolic type in the sense of Kulkarni-Pinkall, we associate, for all θ ∈ [(n − 1)π/2, nπ/2[ and for all r > tan(θ/n) a unique immersed hypersurface Σr,θ = (M, ir,θ) in H of constant θ-special Lagrangian curvature equal to r. We show that these hypersurfaces smoothly approximate the boundary of the canonical hyperbolic end associated to the FCS by Kulkarni and Pinkall and thus obtain results concerning the continuous dependance of the hyperbolic end and of the KulkarniPinkall metric on the flat conformal structure.
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