Abstract: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.
Keywords: Clairaut's theorem; surfaces of rotation; pseudo-Euclidean 4-space; geodesic curve
DOI: DOI 10.14712/1213-7243.2025.001
AMS Subject Classification: 53A35 53B30 53B50