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

Abstract

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.

arXiv comment13 pages, no figures. arXiv admin note: text overlap with arXiv:2107.13378