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Keywords:
Clairaut's theorem; surfaces of rotation; pseudo-Euclidean 4-space; geodesic curve
Clairaut's theorem; surfaces of rotation; pseudo-Euclidean 4-space; geodesic curve
Summary:
Clairaut’s theorem is expressed on the surfaces of rotation in semi Euclidean 4-space. Moreover, the general equations of time-like geodesic curves are characterized according to the results of Clairaut's theorem on the hyperbolic surfaces of rotation and the elliptic surface of rotation, respectively.
References:
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