Gauge fields and space-time geometry

Mappings between the SU (2) Yang-Mills gauge theory and the gauge gravity theory are discussed. The global aspects are considered in the framework of the fiber-bundle technique, and three different local constructions (depending on the existence of a fixed background metric) are described in detail. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 117, No. 2, pp. 249–262, November, 1998.