On determining the isometry group of a Riemannian space

DOI10.1007/BF00761458zbMath0486.53013OpenAlexW139284056WikidataQ115394895 ScholiaQ115394895MaRDI QIDQ1164853

Anders Karlhede, Malcolm A. H. MacCallum

Publication date: 1982

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00761458

zbMATH Keywords

group of motionsinteractive computer system for algebraic manipulation

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Software, source code, etc. for problems pertaining to differential geometry (53-04)

Related Items

(Conformal) Killing vectors in the Newman-Penrose formalism, Obtaining a class of type \(O\) pure radiation metrics with a negative cosmological constant, using invariant operators, Computer algebra determination of symmetries in general relativity, Dimension of the isometry group in spacetimes with an invariant frame, Counting the number of Killing vectors in a 3D spacetime, All the three dimensional Lorentzian metrics admitting three Killing vectors, The equivalence problem for generic four-dimensional metrics with two commuting Killing vectors, Finding space-time geometries without using a metric

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A review of the geometrical equivalence of metrics in general relativity
• Homogeneous Riemannian spaces and Lie algebras of Killing fields
• Space-times homogeneous on a time-like hypersurface
• Invariants of real low dimension Lie algebras
• Invariant Approach to the Geometry of Spaces in General Relativity
• Exact solutions to Einstein field equations