Korean J. Math. Vol. 23 No. 4 (2015) pp.733-740
DOI: https://doi.org/10.11568/kjm.2015.23.4.733

The existence of some metrics on Riemannian warped product manifolds with Fiber Manifold of Class (B)

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Published: Dec 30, 2015
Keywords:
warping function, Riemannian warped product manifold, scalar curvature
Mathematics Subject Classification:
53C21, 53C50, 58C35, 58J05

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Yoon-Tae Jung
Department of Mathematics Chosun University Kwangju 61452, Republic of Korea
Song-Hwa Chae
Department of mathematics Education Chosun University Kwangju 61452, Republic of Korea
Soo-Young Lee
Department of Mathematics Chosun University Kwangju 61452, Republic of Korea

Abstract

In this paper, we prove the existence of warping functions on Riemannian warped product manifolds with some prescribed scalar curvatures according to the fiber manifolds of class (B).


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Supporting Agencies

This work was supported by Chosun University Research Fund 2015.

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