Journal of the Chungcheong Mathematical Society (충청수학회지)

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THE EXISTENCE OF WARPING FUNCTIONS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS

  • Received : 2013.03.27
  • Accepted : 2013.07.16
  • Published : 2013.08.15
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Abstract

In this paper, when N is a compact Riemannian manifold of class (A), we consider the existence of some warping functions on Riemannian warped product manifolds $M=[a,{\infty}){\times}_fN$ with prescribed scalar curvatures.

Keywords

Acknowledgement

Supported by : Chosun University

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Cited by

  1. THE EXISTENCE OF WARPING FUNCTIONS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B) vol.36, pp.3, 2014, https://doi.org/10.5831/HMJ.2014.36.3.597