On the singular set, the resolvent and Fermi's Golden Rule for finite volume hyperbolic surfaces.
Yiannis N. Petridis (1994)
Manuscripta mathematica
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Yiannis N. Petridis (1994)
Manuscripta mathematica
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Kentaro Saji, Handan Yıldırım (2015)
Annales Polonici Mathematici
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We consider surfaces in hyperbolic 3-space and their duals. We study flat dual surfaces in hyperbolic 3-space by using extended Legendrian dualities between pseudo-hyperspheres in Lorentz-Minkowski 4-space. We define the flatness of a surface in hyperbolic 3-space by the degeneracy of its dual, which is similar to the case of the Gauss map of a surface in Euclidean 3-space. Such surfaces are a kind of ruled surfaces. Moreover, we investigate the singularities of these surfaces and the...
Paul Concus, Robert Finn (1989)
Manuscripta mathematica
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R. OSSERMAN (1961)
Mathematische Annalen
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Nakanishi, Toshihiro, Velling, John A. (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Haas, Andrew (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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È.B. Vinberg (1983)
Mathematische Annalen
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I.P. Malta, M.J. Pacifico (1983)
Inventiones mathematicae
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Gabriele Mondello (2011)
Journal of the European Mathematical Society
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We compare some natural triangulations of the Teichmüller space of hyperbolic surfaces with geodesic boundary and of some bordifications. We adapt Scannell–Wolf’s proof to show that grafting semi-infinite cylinders at the ends of hyperbolic surfaces with fixed boundary lengths is a homeomorphism. This way, we construct a family of equivariant triangulations of the Teichmüller space of punctured surfaces that interpolates between Bowditch–Epstein–Penner’s (using the spine construction)...
Robert Finn, Enrico Giusti (1979)
Manuscripta mathematica
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Monica Idà, Emilia Mezzetti (1990)
Manuscripta mathematica
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J. Bemelmans (1981)
Manuscripta mathematica
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Lizhen Ji (1993)
Mathematische Zeitschrift
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Gang Xiao (1986/87)
Manuscripta mathematica
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