Honam Mathematical Journal (호남수학학술지)

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THE EXISTENCE OF WARPING FUNCTIONS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B)

  • Jung, Yoon-Tae (Department of Mathematics, Chosun University) ;
  • Lee, Ga-Young (Department of mathematics, graduate school, Chosun University) ;
  • Kim, A-Ryong (Department of mathematics, graduate school of education, Chosun University) ;
  • Lee, Soo-Young (Department of Mathematics, Chosun University)
  • Received : 2014.07.02
  • Accepted : 2014.08.25
  • Published : 2014.09.25
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Abstract

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

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References

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  1. THE EXISTENCE OF SOME METRICS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B) vol.23, pp.4, 2015, https://doi.org/10.11568/kjm.2015.23.4.733