Correspondances géodésiques entre les surfaces euclidiennes à singularités coniques
Mohammed Mostefa Mesmoudi
Université de Strasbourg, France
![Correspondances géodésiques entre les surfaces euclidiennes à singularités coniques cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-12-issue-1.png&w=3840&q=90)
Abstract
A.J. Montesinos has shown that a geodesic correspondence between to complete Riemannian manifolds with transitive topological geodesic flow is a homothety. In this paper we prove a similar result for a conformal geodesic correspondence between two singular flat surfaces with conical singularities and negative concentrated curvature.
Cite this article
Mohammed Mostefa Mesmoudi, Correspondances géodésiques entre les surfaces euclidiennes à singularités coniques. Rev. Mat. Iberoam. 12 (1996), no. 1, pp. 37–45
DOI 10.4171/RMI/193