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http://dx.doi.org/10.4134/BKMS.2005.42.1.005

CONFORMAL TRANSFORMATIONS IN A TWISTED PRODUCT SPACE  

KIM, BYUNG-HAK (Department of Mathematics and Institute of Natural Sciences, Kyung Hee University)
JUNG, SEOUNG-DAL (Department of Mathematics, Cheju University)
KANG, TAE-HO (Department of Mathematics, University of Ulsan)
PAK, HONG-KYUNG (Department of Information Security, Daegu Haany University)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.1, 2005 , pp. 5-15 More about this Journal
Abstract
The conharmonic transformation is a conformal trans-formation which satisfies a specified differential equation. Such a transformation was defined by Y. Ishii and we have generalized his results. Twisted product space is a generalized warped product space with a warping function defined on a whole space. In this paper, we partially classified the twisted product space and obtain a sufficient condition for a twisted product space to be locally Riemannian products.
Keywords
conformally flat; conharmonic transformation; twisted product space;
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