On conditions of the coincidence of curvatures of the first and second types on distribution of planes

O. M. Omelyan

Immanuel Kant State University of Russia

Abstract: We consider distributions of planes in a multidimensional projective space and construct the curvatures of the first and second types of group connections induced by composite equipments of the distributions. Conditions of the coincidence of these curvatures are found. An internal composite equipment of a distribution of planes is performed. We prove that this equipment induces the internal curvatures of the first and second types in the principal fiber bundle.

UDC: 514.76

 English version: Journal of Mathematical Sciences (New York), 2011, 177:5, 688–691

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