Corpus ID: 119305719

Scalar conformal invariants of weight zero

@article{SanchezRodriguez2017ScalarCI,
  title={Scalar conformal invariants of weight zero},
  author={I. S'anchez-Rodr'iguez},
  journal={arXiv: Differential Geometry},
  year={2017}
}
  • I. S'anchez-Rodr'iguez
  • Published 2017
  • Mathematics, Physics
  • arXiv: Differential Geometry
  • In the class of metrics of a generic conformal structure there exists a distinguishing metric. This was noticed by Albert Einstein in a lesser-known paper of 1921 (Berl. Ber., 1921, pp. 261-264). We explore this finding from a geometrical point of view. Then, we obtain a family of scalar conformal invariants of weight 0 for generic pseudo-Riemannian conformal structures $[g]$ in more than three dimensions. In particular, we define the conformal scalar curvature of $[g]$ and calculate it for… CONTINUE READING

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