International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 4, Pages 227-238
doi:10.1155/S0161171202011924

Contractive curves

Araceli Bonifant1 and Marius Dabija2,3

1Instituto de Matematicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, col. Lomas de Chamilpa, Cuernavaca CP 62210, Morelos, Mexico
2Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, Romania
3Department of Mathematics, The Pennsylvania State University, 215 McAllister Building, University Park 16802, PA, USA

Received 6 February 2001; Revised 31 August 2001

Copyright © 2002 Araceli Bonifant and Marius Dabija. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We discuss the dynamics of the correspondences associated to those plane curves whose local sections contract the Poincaré metric in a hyperbolic planar domain.