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- Title
Symmetry structures and conservation laws of four-dimensional non-reductive homogeneous spaces.
- Authors
Aryanejad, Y; Padiz Foumani, M
- Abstract
We investigate variational, Lie and Killing symmetries of the Lagrangian of an essential class of four-dimensional (pseudo-)Riemannian manifolds, i.e., non-reductive homogeneous spaces. Moreover, a Lie algebra analysis is shown. With the help of a result of the Noether's theorem, we have presented the expressions for conservation laws corresponding to all variational symmetries.
- Subjects
CONSERVATION laws (Physics); NOETHER'S theorem; HOMOGENEOUS spaces; CONSERVATION laws (Mathematics); SYMMETRY; RIEMANNIAN manifolds; LIE algebras
- Publication
Pramana: Journal of Physics, 2024, Vol 98, Issue 2, p1
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-024-02727-0