Translation foliations of codimension one on compact affine manifolds
Francisco Turiel (1997)
Banach Center Publications
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Consider two foliations and , of dimension one and codimension one respectively, on a compact connected affine manifold . Suppose that ; and . In this paper we show that either is given by a fibration over , and then has a great degree of freedom, or the trace of is given by a few number of types of curves which are completely described. Moreover we prove that has a transverse affine structure.