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

In this paper, 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 surfac...

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Veröffentlicht in:arXiv.org 2023-07
Hauptverfasser: Almaz, Fatma, Külahcı, Mihriban Alyamaç
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, 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.
ISSN:2331-8422