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RESEARCH PRODUCT

Appendix: Diophantine Approximation on Hyperbolic Surfaces

Frédéric PaulinJouni Parkkonen

subject

Surface (mathematics)Cusp (singularity)Pure mathematicsGeodesicDiophantine setMathematics::Number TheoryDiophantine equationMathematical analysisHyperbolic manifoldDiophantine approximationMathematics::Geometric TopologyMathematicsClosed geodesic

description

In this (independent) appendix, we study the Diophantine approximation properties for the particular case of the cusped hyperbolic surfaces, in the spirit of Sect. 2 (or [11]), and the many still open questions that arise for them. We refer to [9], [10]for fundamental results and further developments. We study in particular the distance to a cusp of closed geodesics on a hyperbolic surface.

yearjournalcountryeditionlanguage
2002-01-01
https://doi.org/10.1007/978-3-662-04743-9_11