Chebyshev nets in weyl hypersurfaces

An n-dimensional manifold Wn is said to be a Weyl space, if it has a conformal metric tensor gtj and a symmetric connection satisfying the compatibility condition given by the equation V^. =2Tkgv, where Tk denotes a covariant vector and Vt&, denotes usual covariant derivative. In n-dimensional Weyl space Wn, the independent vector fields v'(r=l,2,...,n) determine an n-dimensional net (v,v,...,v). r 12» o Let A be a satellite of gtj with weight {k}. dt A, given by the equation o o is said to be the prolonged derivative of A and V4 A, given by the equation o VsA = VsA-hTsA, is called the prolonged covariant derivative of A. The prolonged covariant derivatives of the vector fields v' and their a a reciprocals vt are, respectively, given by a a a vi v' = Tk v' > Vfc vi i =~ Tk vi (i,k,a,Keyword: Chebyshev şebekeleri = Chebyshev networks ; Hiperyüzey = Hypersurface ; Weyl uzayları = Weyl spaces