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In this paper, Clairaut's theorem is expressed on the surfaces of rotation insemi Euclidean 4-space. Moreover, the general equations of time-like geodesiccurves are characterized according to the results of Clairaut's theorem on thehyperbolic surfaces of rotation and the elliptic surface of rotationrespectively.

The Clairaut's theorem on rotational surfaces in pseudo Euclidean 4-space with index 2