Three-dimensional metrics as deformations of a constant curvature metric
arXiv:gr-qc/0104070 · doi:10.1023/A:1015391411214
Abstract
Any three-dimensional Riemannian metric can be locally obtained by deforming a constant curvature metric along one direction. The general interest of this result, both in geometry and physics, and related open problems are stressed.
14 pages, LaTeX
Cited by in corpus (10)
- Extended Theories of Gravity
- Flat holography and Carrollian fluids
- Deriving the mass of particles from Extended Theories of Gravity in LHC era
- Space-time deformations as extended conformal transformations
- Flat deformation theorem and symmetries in spacetime
- Reference frames and rigid motions in relativity
- Two-step spacetime deformation induced dynamical torsion
- On the degrees of freedom of a semi-Riemannian metric
- On integrable systems outside Nijenhuis and Haantjes geometry
- Deformations of three-dimensional metrics