5. The Four-Dimensional Conformal Structures

  1. Maks A. Akivis1,
  2. Vladislav V. Goldberg2

Published Online: 14 OCT 2011

DOI: 10.1002/9781118032633.ch5

Conformal Differential Geometry and Its Generalizations

Conformal Differential Geometry and Its Generalizations

How to Cite

Akivis, M. A. and Goldberg, V. V. (1996) The Four-Dimensional Conformal Structures, in Conformal Differential Geometry and Its Generalizations, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118032633.ch5

Author Information

  1. 1

    Ben-Gurion University of the Negev, Beer-Sheva, Israel

  2. 2

    New Jersey Institute of Technology, Newark, New Jersey

Publication History

  1. Published Online: 14 OCT 2011
  2. Published Print: 23 AUG 1996

ISBN Information

Print ISBN: 9780471149583

Online ISBN: 9781118032633

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Keywords:

  • four-dimensional conformal structures;
  • structure equations;
  • Hodge operator;
  • conformal structures;
  • general relativity

Summary

This chapter contains sections titled:

  • Structure equations of the CO(2, 2)-structure

  • The CO(1,3)-structure and the CO(4, 0)-structure

  • The Hodge operator

  • Completely isotropic submanifolds of four-dimensional conformal structures

  • Four-dimensional webs and CO(2, 2)-structures

  • Conformal structures of some metrics in general relativity

  • Conformal structures on a four-dimensional hypersurface