Geodesic
The research on rotational surfaces in pseudo Euclidean 4-space with index 2
Fatma Almaz1 ; Mihriban Alyamaç Külahcı1 ; Fatma Almaz ; Mihriban Alyamaç Külahcı
1Department of Mathematics, Science Faculty, Firat university, Elazığ, Türkiye
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 3, pp. 263-279 
Fatma Almaz; Mihriban Alyamaç Külahcı; Fatma Almaz; Mihriban Alyamaç Külahcı. The research on rotational surfaces in pseudo Euclidean 4-space with index 2. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 3, pp. 263-279. http://geodesic.mathdoc.fr/item/AMUC_2023_92_3_a5/
@article{AMUC_2023_92_3_a5,
     author = {Fatma Almaz and Mihriban Alyama\c{c} K\"ulahc{\i} and Fatma Almaz and Mihriban Alyama\c{c} K\"ulahc{\i}},
     title = { The research on rotational surfaces in pseudo {Euclidean} 4-space with index 2},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {263--279},
     year = {2023},
     volume = {92},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_3_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this study, we define a brief description of the hyperbolic and elliptic rotational surfaces using a curve and matrices in 4-dimensional semi-Euclidean space with index 2. That is, we provide different types of rotational matrices, which are the subgroups of M by rotating a selected axis in E4 . Also, we choose two-parameter matrices groups of rotations and we give the matrices of rotation corresponding to the appropriate subgroup in 4-dimensional semi-Euclidean space. Therefore, we generate surfaces of rotation using Killing vector fields in E4 2 and we give the Gaussian curvature and the mean curvature of the surfaces of rotation.