Conformal and Grassmann structures

Document Type

Article

Publication Date

1-1-1998

Abstract

The main results on the theory of conformal and almost Grassmann structures are presented. The common properties of these structures and also the differences between them are outlined. In particular, the structure groups of these structures and their differential prolongations are found. A complete system of geometric objects of the almost Grassmann structure totally defining its geometric structure is determined. The vanishing of these objects determines a locally Grassmann manifold. It is proved that the integrable almost Grassmann structures are locally Grassmann. The criteria of semiintegrability of almost Grassmann structures is proved in invariant form.

Identifier

0032036396 (Scopus)

Publication Title

Differential Geometry and Its Application

External Full Text Location

https://doi.org/10.1016/S0926-2245(98)00007-2

ISSN

09262245

First Page

177

Last Page

203

Issue

2

Volume

8

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