6533b827fe1ef96bd1287077

RESEARCH PRODUCT

Dimension of the isometry group in three-dimensional Riemannian spaces

Joan Josep FerrandoJuan Antonio Sáez

subject

PhysicsPure mathematicsIdeal (set theory)Physics and Astronomy (miscellaneous)Dimension (vector space)Group (mathematics)Computer Science::Information RetrievalMetric (mathematics)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Invariant (mathematics)Isometry groupGeneral Relativity and Quantum Cosmology

description

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.

yearjournalcountryeditionlanguage
2021-02-26Classical and Quantum Gravity
https://doi.org/10.1088/1361-6382/abdaf4