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Invariant Connections with Torsion on Group Manifolds and Their Application in Kaluza-Klein Theories

Yu. A. Kubyshin·V. O. Malyshenko·D. Marin Ricoy
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Abstract

Invariant connections with torsion on simple group manifolds $S$ are studied and an explicit formula describing them is presented. This result is used for the dimensional reduction in a theory of multidimensional gravity with curvature squared terms on $M^{4} \times S$. We calculate the potential of scalar fields, emerging from extra components of the metric and torsion, and analyze the role of the torsion for the stability of spontaneous compactification.

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Yu. A. Kubyshin, V. O. Malyshenko, D. Marin Ricoy. 1993-05-02. Invariant Connections with Torsion on Group Manifolds and Their Application in Kaluza-Klein Theories. https://doi.org/10.1063/1.530877

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