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Conformal transformations in a twisted product space

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Abstract

The conharmonic transformation is a conformaltransformation which satisfies a specified differential equation.Such a transformation was defined by Y. Ishii and we havegeneralized his results. Twisted product space is a generalizedwarped product space with a warping function defined on a wholespace. In this paper, we partially classified the twisted productspace and obtain a sufficient condition for a twisted productspace to be locally Riemannian products.

참고문헌 (3)

  1. "1 \by Y. Agaoka and B. H. Kim \paper On conformally flat"
  2. "4 \by Y. Ishii \paper On conharmonic transformation"
  3. "U}nal \paper A curvature condition for a twisted product to be"

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