Simple geodesics on surfaces of genus 2.
McShane, Greg (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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McShane, Greg (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hämenstadt, Ursula (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Schmutz Schaller, Paul (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Schmutz Schaller, Paul (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hugo Parlier (2005)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Sheingorn, Mark (2001)
The New York Journal of Mathematics [electronic only]
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Cyril Lecuire (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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The bending map of a hyperbolic -manifold maps a convex cocompact hyperbolic metric on a -manifold with boundary to its bending measured geodesic lamination. As proved in [KeS] and [KaT], this map is continuous. In the present paper we study the extension of this map to the space of geometrically finite hyperbolic metrics. We introduce a relationship on the space of measured geodesic laminations and show that the quotient map obtained from the bending map is continuous.
José M. Rodríguez (1994)
Publicacions Matemàtiques
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We prove that if a Riemann surface has a linear isoperimetric inequality and verifies an extra condition of regularity, then there exists a non-constant harmonic function with finite Dirichlet integral in the surface. We prove too, by an example, that the implication is not true without the condition of regularity.
Maciej Wojtkowski (1982)
Studia Mathematica
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Ayyildiz, Nihat, Çöken, A.Ceylan, Yücesan, Ahmet (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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