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

Fatma Almaz; Mihriban Alyamaç Külahcı

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

Differential Geometry 2023-07-06 v5 Mathematical Physics math.MP

Authors: Fatma Almaz , Mihriban Alyamaç Külahcı

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.

Keywords

clairaut's theorem rotational surfaces pseudo euclidean 4-space time-like geodesic curves hyperbolic surfaces elliptic surfaces

Cite

@article{arxiv.2108.00224,
  title  = {The Clairaut's theorem on rotational surfaces in pseudo Euclidean 4-space with index 2},
  author = {Fatma Almaz and Mihriban Alyamaç Külahcı},
  journal= {arXiv preprint arXiv:2108.00224},
  year   = {2023}
}

Comments

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

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