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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
New York Business Global
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51927/ http://psasir.upm.edu.my/id/eprint/51927/1/On%20convexity%20in%20product%20of%20Riemannian%20manifolds.pdf |
| _version_ | 1848851966766088192 |
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| author | Saleh, Wedad Kilicman, Adem |
| author_facet | Saleh, Wedad Kilicman, Adem |
| author_sort | Saleh, Wedad |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T10:30:35Z |
| format | Article |
| id | upm-51927 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:35Z |
| publishDate | 2016 |
| publisher | New York Business Global |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Saleh, Wedad Kilicman, Adem On convexity in product of Riemannian manifolds |
| title | 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_short | On convexity in product of Riemannian manifolds |
| title_sort | on convexity in product of riemannian manifolds |
| url | http://psasir.upm.edu.my/id/eprint/51927/ http://psasir.upm.edu.my/id/eprint/51927/ http://psasir.upm.edu.my/id/eprint/51927/1/On%20convexity%20in%20product%20of%20Riemannian%20manifolds.pdf |