标题： 具有挠率的群流形上的不变联络及其在卡鲁扎-克莱因理论中的应用 显示英文标题

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

摘要： 研究了简单李群流形$S$上具有挠率的不变联络，并给出了描述这些联络的显式公式。 这一结果被用于多维广义相对论理论中，该理论包含曲率平方项且定义于$M^{4} \times S$上的维度约化。 我们计算了从度量和挠率的额外分量中产生的标量场势，并分析了挠率对自发紧致化的稳定性所起的作用。 显示英文摘要

摘要： 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.