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Projective transformations in metric-affine and Weylian geometries.
- Source :
-
International Journal of Geometric Methods in Modern Physics . Nov2023, Vol. 20 Issue 13, p1-25. 25p. - Publication Year :
- 2023
-
Abstract
- We discuss generalizations of the notions of projective transformations acting on affine model of Riemann–Cartan and Riemann–Cartan–Weyl gravity which preserve the projective structure of the light-cones. We show how the invariance under some projective transformations can be used to recast a Riemann–Cartan–Weyl geometry either as a model in which the role of the Weyl gauge potential is played by the torsion vector, which we call torsion-gauging, or as a model with traditional Weyl (conformal) invariance. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GEOMETRIC modeling
*AFFINE transformations
*GEOMETRY
*TORSION
*GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 02198878
- Volume :
- 20
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 173113557
- Full Text :
- https://doi.org/10.1142/S0219887823502377