Honam Mathematical Journal (호남수학학술지)

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THE NONEXISTENCE OF CONFORMAL DEFORMATIONS ON SPACE-TIMES (II)

  • Jung, Yoon-Tae (Department of Mathematics, Chosun University)
  • Received : 2011.03.04
  • Accepted : 2011.03.11
  • Published : 2011.03.25

Abstract

In this paper, when N is a compact Riemannian manifold, we discuss the nonexistence of conformal deformations on space-times $M = (a,\infty){\times}_fN$ with prescribed scalar curvature functions.

Keywords

warped product;scalar curvature;conformal deformation

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Cited by

  1. The Nonexistence of Conformal Deformations on Riemannian Warped Product Manifolds vol.5, pp.1, 2012, https://doi.org/10.13160/ricns.2012.5.1.042