# Geometric symmetries on Lorentzian manifolds

Source: [Geometric symmetries on Lorentzian manifolds](<https://www.sota2.com/research/paper/68fa28a82c2a3760193c951c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:55.483Z

Authors: K. Saifullah

Published: 2009-02-22T19:07:28.000Z

## Abstract

Lie derivatives of various geometrical and physical quantities define symmetries and conformal symmetries in general relativity. Thus we obtain motions, collineations, conformal motions and conformal collineations. These symmetries are used not only to find new solutions of Einstein's field equations but to classify the spaces also. Different classification schemes are presented here. Relationships between these symmetries are discussed and illustrating examples are presented.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0902.3816>)

[PDF](<https://arxiv.org/pdf/0902.3816.pdf>)