The curvature object for fundamental-group connection associated with congruence of hypercentred planes

Abstract

The congruence of hypercentred planes is investigated in n-di­men­sional projective space. The congruence is a holonomic smooth manifold. It is proved that curvature object for the fundamental-group connection in the principal fibre bundle associated with the congruence is a pseudotensor.

Keywords

• projective space
• hypercentred plane
• congruence
• connec­tion in the principal fibre bundle
• curvature
• pseudotensor