caa a22 4500 44588391X CHVBK 20180317145553.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10711-010-9567-7 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9567-7 Smith Graham Centre de Recerca Matemàtica, Facultat de Ciències, Edifici C, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain aut Moduli of flat conformal structures of hyperbolic type [Elektronische Daten] [Graham Smith] To each flat conformal structure (FCS) of hyperbolic type in the sense of Kulkarni-Pinkall, we associate, for all $${\theta\in[(n-1)\pi/2,n\pi/2[}$$ and for all r > tan(θ/n) a unique immersed hypersurface $${\Sigma_{r,\theta}=(M,i_{r,\theta})}$$ in $${\mathbb{H}^{n+1}}$$ 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 Kulkarni-Pinkall metric on the flat conformal structure. Springer Science+Business Media B.V., 2011 Möbius manifolds nationallicence Flat conformal structures nationallicence Special Lagrangian nationallicence Immersions nationallicence Foliations nationallicence Geometriae Dedicata Springer Netherlands 154/1(2011-10-01), 47-80 0046-5755 154:1<47 2011 154 10711 https://doi.org/10.1007/s10711-010-9567-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9567-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Smith Graham Centre de Recerca Matemàtica, Facultat de Ciències, Edifici C, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 154/1(2011-10-01), 47-80 0046-5755 154:1<47 2011 154 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer