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Automorphisms of Spacetime Manifold with Torsion

Vladimir Ivanovich Pan’Zhenskii; Olga Petrovna Surina — 2016

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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 $n > 2$ .

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