Abstract

TRIBUZY, IVÁN; AYALA, VÍCTOR; DINIZ, MARCOS M  and  VELOSO, JOSÉ M. M. 0N CHARACTERIZATION OF RIEMANNIAN MANIFOLDS. Proyecciones (Antofagasta) [online]. 2008, vol.27, n.2, pp. 113-144. ISSN 0716-0917.  doi: 10.4067/S0716-09172008000200001.

This survey, present some results about characterization of Riemannian manifolds by using notions of convexity. The first part deals with immersed manifolds and the second part gives a characterization for the Euclidean space and for the Euclidean sphere.

Keywords : geodesics; convexity; axiomatic geometry; isosceles triangles.