Asymptotic Behaviour of λ-Convex Sets in the Hyperbolic Plane

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Resum

It is known that the limit Area/Length for a sequence of convex sets expanding over the whole hyperbolic plane is less than or equal to 1, and exactly 1 when the sets considered are convex with respect to horocycles. We consider geodesics and horocycles as particular cases of curves of constant geodesic curvature λ with 0 ≤ λ ≤ 1 and we study the above limit Area/Length as a function of the parameter λ.
Idioma originalAnglès
Pàgines (de-a)275-289
RevistaGeometriae Dedicata
Volum76
Número3
DOIs
Estat de la publicacióPublicada - 1 de gen. 1999

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