Congruence of Curves in Weyl-Otsuki Spaces

In this paper, we study congruence of curves in Weyl-Otsuki spaces using the Ricci's coefficients of that congruence in orthogonal case. We first prove that the Ricci’s coefficients determine the regular general connection of an Otsuki space. Then we give the condition for these coefficients in Weyl-Otsuki spaces to be skew-symmetric in the first two indices as in Riemannian spaces. We obtain the necessary and sufficient conditions for the curves of a congruence to be geodesic, normal and irrotational, respectively. Finally, we prove that if a congruence satisfy the equation, and any two of the conditions that to be geodesic, normal and irrotational, then it also satisfies the other third one.