Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
Copyright policy )Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normalized space Π 1 , 2 are investigated. By virtue of the Cartan–Laptev method, the dynamics of changes of corresponding bundles, group connection objects, curvature and torsion of the connections are discovered at a transition from the space Π to the normalized space Π 1 , 2 .
- Immanuel Kant Baltic Federal University Russian Federation
cartan–laptev method, normalization, space of centered planes, connection, QA1-939, reduction, differentiable manifold; Cartan–Laptev method; space of centered planes; normalization; reduction; connection, differentiable manifold, Mathematics
cartan–laptev method, normalization, space of centered planes, connection, QA1-939, reduction, differentiable manifold; Cartan–Laptev method; space of centered planes; normalization; reduction; connection, differentiable manifold, Mathematics
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