Dimension of the isometry group in three-dimensional Riemannian spaces
Abstract
The necessary and sufficient conditions for a three-dimensional Riemannian metric to admit a group of isometries of dimension r acting on s-dimensional orbits are obtained. These conditions are Intrinsic, Deductive, Explicit and ALgorithmic and they offer an IDEAL labeling that improves previously known invariant studies.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- March 2021
- DOI:
- 10.1088/1361-6382/abdaf4
- Bibcode:
- 2021CQGra..38f7001F
- Keywords:
-
- isometry group;
- Riemannian spaces;
- IDEAL characterization