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WEIERSTRASS POINTS AND SIMPLE GEODESICS

Published online by Cambridge University Press:  04 February 2004

GREG McSHANE
Affiliation:
Laboratoire Emile Picard, Université de Toulouse III, Toulouse, Francemcshane@picard.ups-tlse.fr
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Abstract

The set of vectors tangent to complete simple geodesics at a Weierstrass point is investigated, and interpreted as an infinitesimal version of the Birman–Series set. Three new identities for the lengths of simple geodesics are deduced. Fundamental use is made of the properties of the elliptic involution.

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Type
Papers
Copyright
© The London Mathematical Society 2004

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