Geodesic
Automorphisms of Spacetime Manifold with Torsion
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 87-94 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we prove that the maximum dimension of the Lie group of automorphisms of the Riemann–Cartan 4-dimensional manifold does not exceed 8, and if the Cartan connection is skew-symmetric or semisymmetric, the maximum dimension is equal to 7. In addition, in the case of the Riemann–Cartan $n$-dimensional manifolds with semisymmetric connection the maximum dimension of the Lie group of automorphisms is equal to $n(n-1)/2+1$ for any $n>2$.
In this paper we prove that the maximum dimension of the Lie group of automorphisms of the Riemann–Cartan 4-dimensional manifold does not exceed 8, and if the Cartan connection is skew-symmetric or semisymmetric, the maximum dimension is equal to 7. In addition, in the case of the Riemann–Cartan $n$-dimensional manifolds with semisymmetric connection the maximum dimension of the Lie group of automorphisms is equal to $n(n-1)/2+1$ for any $n>2$.
Classification : 53C05, 53C25
Keywords: Riemann–Cartan manifolds; automorphisms; semi-symmetric connection 
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Pan’Zhenskii, Vladimir Ivanovich; Surina, Olga Petrovna. Automorphisms of Spacetime Manifold with Torsion. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 87-94. http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a10/