Congruence of Curves in Weyl-Otsuki Spaces

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Adıyaman Üniversitesi Fen Bilimleri Dergisi
Volume:14 Issue:2
Congruence of Curves in Weyl-Otsuki Spaces

Congruence of Curves in Weyl-Otsuki Spaces

Pages : 123-139

View : 35 | Download : 71

Publication Date : 2024-12-31

Article Type : Research Paper

Abstract :In this paper, we study the congruence of curves in Weyl-Otsuki spaces using Ricci\\\'s coefficients of that congruence in the orthogonal case. We first prove that 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 congruence to be geodesic, normal, and irrotational. Finally, we prove that if a congruence satisfies the equation, and any two of the conditions to be geodesic, normal, and irrotational, then it also satisfies the other third one.
Keywords : Weyl-Otsuki uzayları, Genel koneksiyonlar, Ricci katsayıları, Kongrüans eğrileri, Jeodezik eğriler

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