Fundamental-group connections and composite clothing for hypercentered planes family in projective space

Abstract

The article deals with hypercentered planes family in projective space. It is proved that the curvature object for the fundamental-group connection in the principal bundle associated with the family is a tensor. The composition of the family is set by a point lying in plane and not belonging to its hypercenter and (n - m - 1)-dimensional plane that does not have common points with the hypercentered plane. The mobility tensor is considered. The vanishing its components is geometrically characterized by corresponding special displacements of the clothing objects.

Keywords

• hypercentered plane
• composite clothing
• projective space
• curvature tensor of fundamental-group connection