UPM Institutional Repository

On convexity in product of Riemannian manifolds


Citation

Saleh, Wedad and Kilicman, Adem (2016) On convexity in product of Riemannian manifolds. European Journal of Pure and Applied Mathematics, 9 (1). pp. 57-63. ISSN 1307-5543

Abstract

In this paper, the concept of convexity and starshapedness in the cartesian product of two complete, simple connected smooth Riemannian manifolds without conjugate points are studied in terms of the same concepts in the components of product. We also discuss some of their properties in the cartesian product of Riemannian manifolds without conjugate points. Results obtained in this paper may inspire future research in convex analysis and related optimization fields.


Download File

[img]
Preview
PDF (Abstract)
On convexity in product of Riemannian manifolds.pdf

Download (34kB) | Preview

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: New York Business Global
Keywords: Convex sets; Conjugate points; Kernel; Starshaped sets
Depositing User: Nabilah Mustapa
Date Deposited: 03 May 2017 04:43
Last Modified: 03 May 2017 04:43
URI: http://psasir.upm.edu.my/id/eprint/51927
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item