Bulletin of the Korean Mathematical Society
( Vol.42 NO.1 / 2005 )
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Title |
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Conformal transformations in a twisted product space(eng) |
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Author |
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Byung Hak Kim ,Seoung Dal Jung ,Tae Ho Kang ,Hong Kyung Pak |
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MSC |
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53A55, 53B20 |
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Publication |
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Page |
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5-15 Page |
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Abstract |
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1. Introduction
2. A concircular scalar field
3. Twisted product space
4. Conformal transformation in twisted product spaces |
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Own Status |
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Keyword |
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conformally flat, conharmonic transformation, twisted product space |
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Note |
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Summary |
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The conharmonic transformation is a conformal
transformation 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. |
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