Differenital geometry of families of m-dimensional planes of n-dimensional elliptic space

The investigation of differential geometry of monosystems, hypercomplexes, congruences and pseudocongruences of m-planes of a n-dimensional elliptic space is the aim of the paper. During the investigation the method of mobile bench makr and external differential Kartan's forms have been used as well as methods of real interpretations of spaces over algebras. As a result general theories of monosystems, hypercomplexes have been constructed. New results in theory of congruences, pseudocongruences of m-planes have been obtained, their special types have been indicated. Geometry of elliptic grassmanian has been investigated. All results are the new onesAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio