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A. J. Montesinos has shown that a geodesic correspondence between two 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.
Mesmoudi, Mohammed Mostefa. "Correspondances géodésiques entre les surfaces euclidiennes à singularités coniques.." Revista Matemática Iberoamericana 12.1 (1996): 37-45. <http://eudml.org/doc/39515>.
@article{Mesmoudi1996, author = {Mesmoudi, Mohammed Mostefa}, journal = {Revista Matemática Iberoamericana}, keywords = {Variedad riemanniana; Geodésicas; Métricas riemannianas; Superficies; Homotecia; geodesic flow; conformal geodesic correspondence}, language = {fre}, number = {1}, pages = {37-45}, title = {Correspondances géodésiques entre les surfaces euclidiennes à singularités coniques.}, url = {http://eudml.org/doc/39515}, volume = {12}, year = {1996}, }
TY - JOUR AU - Mesmoudi, Mohammed Mostefa TI - Correspondances géodésiques entre les surfaces euclidiennes à singularités coniques. JO - Revista Matemática Iberoamericana PY - 1996 VL - 12 IS - 1 SP - 37 EP - 45 LA - fre KW - Variedad riemanniana; Geodésicas; Métricas riemannianas; Superficies; Homotecia; geodesic flow; conformal geodesic correspondence UR - http://eudml.org/doc/39515 ER -