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Horocyclic and geodesic orbits on geometrically infinite surfaces of variable negative curvature

Published 25 May 2023 in math.DS | (2305.16538v1)

Abstract: Here we study the behaviour of the horocyclic orbit of a vector on the unit tangent bundle of a geometrically infinite surface with variable negative curvature, when the corresponding geodesic ray is almost minimizing and the injectivity radius is finite.

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