Some remarks on the converse of Weyl's conformal theorem

Graham Hall

doi:10.1016/j.geomphys.2009.08.002

Some remarks on the converse of Weyl's conformal theorem

Graham Hall

Mathematical Science

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

One of Weyl’s classical theorems states that a certain tensor, the Weyl tensor, is unchanged when the metric from which it is constructed is replaced by another metric conformally related to it. This paper explores the converse of this theorem.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Journal of Geometry and Physics
Volume	60
Issue number	1
Early online date	15 Aug 2009
DOIs	https://doi.org/10.1016/j.geomphys.2009.08.002
Publication status	Published - Jan 2010

Keywords

conformal metrics
the Weyl tensor

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10.1016/j.geomphys.2009.08.002

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Some remarks on the converse of Weyl's conformal theorem

Abstract

Keywords

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