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In: Geometric and Functional Analysis, 2015, vol. 25, no. 2, p. 580-657
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In: Transformation Groups, 2015, vol. 20, no. 3, p. 831-861
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In: Geometriae Dedicata, 2020, vol. 206, no. 1, p. 151–179
Let Sg,n be a surface of genus g>1 with n>0 punctures equipped with a complete hyperbolic cusp metric. Then it can be uniquely realized as the boundary metric of an ideal Fuchsian polyhedron. In the present paper we give a new variational proof of this result. We also give an alternative proof of the existence and uniqueness of a hyperbolic polyhedral metric with prescribed curvature in a...
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