Relative convex body in Euclidean and hyperbolic spaces
El-sayied, H., Swealam, M., El-sayed, D. (2017). Relative convex body in Euclidean and hyperbolic spaces. EKB Journal Management System, 38(1), 1-6. doi: 10.21608/djs.2017.139330
H. K. El-sayied; M. Swealam; Doaa Mohammed El-sayed. "Relative convex body in Euclidean and hyperbolic spaces". EKB Journal Management System, 38, 1, 2017, 1-6. doi: 10.21608/djs.2017.139330
El-sayied, H., Swealam, M., El-sayed, D. (2017). 'Relative convex body in Euclidean and hyperbolic spaces', EKB Journal Management System, 38(1), pp. 1-6. doi: 10.21608/djs.2017.139330
El-sayied, H., Swealam, M., El-sayed, D. Relative convex body in Euclidean and hyperbolic spaces. EKB Journal Management System, 2017; 38(1): 1-6. doi: 10.21608/djs.2017.139330

Relative convex body in Euclidean and hyperbolic spaces

Delta Journal of Science
Article 1, Volume 38, Issue 1, June 2017, Page 1-6  XML PDF (818.28 K)
Document Type: Research and Reference
DOI: 10.21608/djs.2017.139330
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Authors
H. K. El-sayied; M. Swealam; Doaa Mohammed El-sayed*
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
Relative convexity; relative open (closed) sets; relative convex body and relative convex surface
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