Showing papers on "Distribution (differential geometry) published in 1983"
TL;DR: In this paper, the integrability conditions associated with an n-dimensional distribution are analyzed in terms of appropriate torsion and curvature 2-forms, and a further specialization of the connection leads to Edelen's theory of distributions on spaces of fibres.
Abstract: It is assumed that an n-dimensional distribution is given on an (n+M)-dimensional product space. The latter is endowed with a connection, by means of which the covariant exterior derivatives of the functions that specify the distribution are defined. It is postulated that the connection be such that these derivatives vanish identically. This gives rise to an analysis of the integrability conditions associated with the distribution in terms of appropriate torsion and curvature 2-forms. A further specialization of the connection leads to Edelen's theory [1] of distributions on spaces of fibres.
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