About an analogue of Neifeld’s connection on the space of centred planes with two-index basic-fibre forms

Abstract

Space П of centred m-planes is considered in the projective space . Prin­cipal fiber bundle is arised above it. Two-index structural forms of the principal fiber are included also into structure of basic forms. An analogue of Neifeld’s connection is given in this fibering. The case when two-index forms are basic-fibre forms is considered. It is proved that the analog of Norden strong normalization of the space of centred planes induces the analogue of Neifeld’s connection.

Keywords

• projective space
• space of centred planes
• analogue of nor­den strong normalization
• neifeld’s connection