Geodesic
The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2
Commentationes Mathematicae Universitatis Carolinae, Tome 65 (2024) no. 1, pp. 63-77
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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.
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.
DOI : 10.14712/1213-7243.2025.001
Classification : 53A35, 53B30, 53B50
Keywords: Clairaut's theorem; surfaces of rotation; pseudo-Euclidean 4-space; geodesic curve 
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Almaz, Fatma; Külahci, Mihriban A. The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2. Commentationes Mathematicae Universitatis Carolinae, Tome 65 (2024) no. 1, pp. 63-77. doi: 10.14712/1213-7243.2025.001

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