Abstract
The infinitesimal transformations that leave invariant a two-covariant symmetric tensor are studied. The interest of these symmetry transformations lies in the fact that this class of tensors includes the energy-momentum and Ricci tensors. Moreover, all curvature collineations are necessarily Ricci collineations. We find that in most cases the class of infinitesimal generators of these transformations is a finite dimensional Lie algebra but also, in some cases exhibiting a higher degree of degeneracy, this class is infinite dimensional and may fail to be a Lie algebra.
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Llosa, J. (2014). Matter and Ricci Collineations. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_42
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DOI: https://doi.org/10.1007/978-3-642-40157-2_42
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