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Spacelike ruled surfaces with stationary Disteli-axis

Authors :
Fatemah Mofarreh
Rashad A. Abdel-Baky
Source :
AIMS Mathematics, Vol 8, Iss 4, Pp 7840-7855 (2023)
Publication Year :
2023
Publisher :
AIMS Press, 2023.

Abstract

This paper derives the expressions for spacelike ruled surfaces with stationary Disteli-axis by means of the E. Study map. This provides the ability to compute a set of Lorentzian curvature functions which define the local shape of spacelike ruled surfaces. Consequently, some well-known formulae of surface theory at Lorentzian line space and their geometrical explanations are obtained and examined. Lastly, a characterization for a spacelike line trajectory to be a constant Disteli-axis is derived and investigated in detail.

Details

Language :
English
ISSN :
24736988
Volume :
8
Issue :
4
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.1142434afdc349ba86398ce80332a312
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2023394?viewType=HTML