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)

Yoon-Tae Jung, Song-Hwa Chae, Soo-Young Lee

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).

Keywords


warping function, Riemannian warped product manifold, scalar curvature

Subject classification

53C21, 53C50, 58C35, 58J05

Sponsor(s)

This work was supported by Chosun University Research Fund 2015.

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