Abstract
In this paper, using the prolonged derivative and prolonged covariant derivative of satellites we define the so-called generalized geodesic coordinates in ann-dimensional Weyl space Wn and obtain the Bianchi identities for Wn. We then give the definition of a Recurrent-Weyl space (WnR) and study some properties of hypersurfaces of (WnR). As is well-known, in some papers [1] dealing with physical problems, one usually chooses a fixed metric and develop a theory under this restriction. We hope that the method used in this work will enable one to remove this restriction.
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