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On convexity in product of Riemannian manifolds

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...

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Main Authors:	Saleh, Wedad, Kilicman, Adem
Format:	Article
Language:	English
Published:	New York Business Global 2016
Online Access:	http://psasir.upm.edu.my/id/eprint/51927/1/On%20convexity%20in%20product%20of%20Riemannian%20manifolds.pdf http://psasir.upm.edu.my/id/eprint/51927/ http://www.ejpam.com/index.php/ejpam/article/view/2541
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id	my.upm.eprints.51927
record_format	eprints
spelling	my.upm.eprints.519272017-05-03T04:43:44Z http://psasir.upm.edu.my/id/eprint/51927/ On convexity in product of Riemannian manifolds Saleh, Wedad Kilicman, Adem 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. New York Business Global 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51927/1/On%20convexity%20in%20product%20of%20Riemannian%20manifolds.pdf 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 http://www.ejpam.com/index.php/ejpam/article/view/2541
institution	Universiti Putra Malaysia
building	UPM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Putra Malaysia
content_source	UPM Institutional Repository
url_provider	http://psasir.upm.edu.my/
language	English
description	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.
format	Article
author	Saleh, Wedad Kilicman, Adem
spellingShingle	Saleh, Wedad Kilicman, Adem On convexity in product of Riemannian manifolds
author_facet	Saleh, Wedad Kilicman, Adem
author_sort	Saleh, Wedad
title	On convexity in product of Riemannian manifolds
title_short	On convexity in product of Riemannian manifolds
title_full	On convexity in product of Riemannian manifolds
title_fullStr	On convexity in product of Riemannian manifolds
title_full_unstemmed	On convexity in product of Riemannian manifolds
title_sort	on convexity in product of riemannian manifolds
publisher	New York Business Global
publishDate	2016
url	http://psasir.upm.edu.my/id/eprint/51927/1/On%20convexity%20in%20product%20of%20Riemannian%20manifolds.pdf http://psasir.upm.edu.my/id/eprint/51927/ http://www.ejpam.com/index.php/ejpam/article/view/2541
_version_	1643835097532596224
score	13.211869

On convexity in product of Riemannian manifolds

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