Some remarks on the converse of Weyl's conformal theorem

Graham Hall

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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 languageEnglish
Pages (from-to)1-7
Number of pages7
JournalJournal of Geometry and Physics
Issue number1
Early online date15 Aug 2009
Publication statusPublished - Jan 2010


  • conformal metrics
  • the Weyl tensor


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