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

Fatma Almaz; Mihriban A. Külahci

Commentationes Mathematicae Universitatis Carolinae (2024)

  • Issue: 1, page 63-77
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Almaz, Fatma, and Külahci, Mihriban A.. "The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2." Commentationes Mathematicae Universitatis Carolinae (2024): 63-77. <http://eudml.org/doc/299950>.

@article{Almaz2024,
abstract = {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.},
author = {Almaz, Fatma, Külahci, Mihriban A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Clairaut's theorem; surfaces of rotation; pseudo-Euclidean 4-space; geodesic curve},
language = {eng},
number = {1},
pages = {63-77},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2},
url = {http://eudml.org/doc/299950},
year = {2024},
}

TY - JOUR
AU - Almaz, Fatma
AU - Külahci, Mihriban A.
TI - The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2024
PB - Charles University in Prague, Faculty of Mathematics and Physics
IS - 1
SP - 63
EP - 77
AB - 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.
LA - eng
KW - Clairaut's theorem; surfaces of rotation; pseudo-Euclidean 4-space; geodesic curve
UR - http://eudml.org/doc/299950
ER -

References

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