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- Title
Projective transformations in metric-affine and Weylian geometries.
- Authors
Sauro, Dario; Martini, Riccardo; Zanusso, Omar
- 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.
- Subjects
GEOMETRIC modeling; AFFINE transformations; GEOMETRY; TORSION; GENERALIZATION
- Publication
International Journal of Geometric Methods in Modern Physics, 2023, Vol 20, Issue 13, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887823502377