On Convexity in Product of Riemannian Manifolds
Keywords:
Convex sets, Conjugate points, Kernel, Starshaped setsAbstract
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 theirproperties in the cartesian product of Riemannian manifolds without conjugate points. Results obtained in this paper may inspire future research in convex analysis and related optimizationelds.
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Published
2016-01-27
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Section
Differential Geometry
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How to Cite
On Convexity in Product of Riemannian Manifolds. (2016). European Journal of Pure and Applied Mathematics, 9(1), 57-63. https://www.ejpam.com/index.php/ejpam/article/view/2541