Conformally Flat Riemann Spaces of Clase One
نویسندگان
چکیده
منابع مشابه
Kaluza-klein Reduction of Conformally Flat Spaces
A “conformal tensor” is constructed from the metric tensor gMN (or Vielbein e A M ) and is invariant against Weyl rescaling gMN → egMN (or eM → eeM ). Moreover, it vanishes if and only if the space is conformally flat, gMN = e ηMN (or e A M = eδ M ). In dimension four or greater the conformal tensor is the Weyl tensor. In three dimensions the Weyl tensor vanishes identically, while the Cotton t...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1951
ISSN: 0025-5645
DOI: 10.2969/jmsj/00320306