Curvature of 2nd type induced on plane distribution
In many-dimensional projective space the plane distribution is considered. The curvature of group connection of 2-nd type, induced by composite clothing of plane distribution, is constructed. It is proved, that a immovability of Cartan’s plane and Bortolotti’s hyperplane in case of holonomic distribution attracts the vanishing of curvature tensor of 2-nd type.
1. Лаптев Г. Ф., Остиану ...
About Coinciding and Interpretation of Connections Induced on an Family of Centered Planes
Family of centered planes in projective space is investigated. It is shown that composite clothing of this family induces 6 bunches of group connections. In each of this bunches one connection is allocated. Their conditions of coinciding are found. Geometric interpretation each of them is done.
1.
Бондаренко Е. В
. Связности ...