a1 Department of Mathematics, Kuwait University, P.O. Box 5969, 13060 Safat, Kuwait
a2 Department of Mathematics, University of Southampton, Southampton SO9 5NH, U.K.
This paper is a continuation of , where we introduced the notion of global k-spreads on manifolds. Here we show that the space of all k-spreads on a manifold has the structure of an affine space, modelled on the vector space of sections of a certain vector bundle. We give some sufficient conditions for a manifold admitting an integrable k-spread to be a space of constant curvature and answer one of the questions raised in .
(Received August 01 1986)
(Revised September 11 1987)