Premium
On closed timelike and spacelike ruled surfaces
Author(s) -
Önder Mehmet,
Ekinci Zehra
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4011
Subject(s) - mathematics , mathematical analysis , space (punctuation) , surface (topology) , dual (grammatical number) , ruled surface , closed timelike curve , pure mathematics , mathematical physics , geometry , spacetime , physics , philosophy , linguistics , quantum mechanics
In this study, by using the concepts and results on spherical curves in dual Lorentzian space, we give the criterions for ruled surfaces with non‐lightlike ruling to be closed (periodic). Moreover, we obtain the necessary and sufficient conditions to guarantee that a timelike or a spacelike ruled surface is closed (periodic). Copyright © 2016 John Wiley & Sons, Ltd.