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Conformal Transformations

  • Ramesh Sharma,
  • Sharief Deshmukh

摘要

This chapter deals with conformal transformations on semi-Riemannian manifolds, and equations relating the geometric objects corresponding to the old and new metrics. It also provides a brief account of some important tensors and their behavior under conformal transformations. Finally, isometries on Riemannian and Lorentzian manifolds have been discussed.