Relative convex body in Euclidean and hyperbolic spaces

Document Type : Research and Reference

Authors

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Abstract

This paper is to generalize the concept of convex body to the so called relative convex
body in Euclidean space 𝐸τ€―‘ . Some geometrical and topological properties for this kind of sets are
discussed. Some properties of the central projection map(Beltrami map) introduced to discuss these
concepts in the hyperbolic space 𝐻τ€―‘ ..

Keywords