Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Author: Jackiw, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147210
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces / R. Jackiw // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 7 назв. — англ.

Conformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza-Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher dimensional conformal tensor vanishes because the space is conformallly flat, th...