TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
Powered by:Powered by

The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Original Articles

Time-Like Smarandache Curves Derived from a Space-Like Helix

* Corresponding author · click or hover a name for details

pp. 93–100Vol. 8Issue 1June 2013DOI: 10.1080/1726037X.2010.10698581XML
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2010.10698581
Pages:
93–100

Abstract

A regular curve in Minkowski space-time , whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache curve. We define a special case of such curves and call it Smarandache TB2 curves in the Minkowski space-time . Moreover, we compute formulas of its Frenet apparatus according to base curve via the method expressed in [5, 6]. By this way, we obtain another orthonormal frame of a such curve in .

Keywords

References

Camci, C., Ilarslan, K. and Sucurovic, E.2003 . On pseudohyperbolical curves in Minkowski spacetime . Turk. J. Math, 27 : 315 – 328 . İlarslan, K. and Boyacıoğlu, Ö.2008 . Position vectors of a timelike and a null helix in Minkowski 3-space . Chaos, Solitons and Fractals, 38 : 1383 – 1389 . O’Neill, B.1983 . Semi-Riemannian Geometry with Applications to Relativity, New York: Academic Press . Ozyilmaz, E. and Yilmaz, S.2009 . Involute-evolute curve couples in the Euclidean 4-space . Int. J. Open Problems Compt. Math, 2 ( 2 ) : 168 – 174 . Yilmaz, S. and Turgut, M.2008 . On the differential geometry of the curves in Minkowski space-time I . Int. J. Contemp. Math. Sci., 3 ( 27 ) : 1343 – 1349 . Yilmaz, S., Ozyilmaz, E. and Turgut, M.2009 . On the differential geometry of the curves in Minkowski space-time II . Int. J. Comput. Math. Sci., 3 ( 2 ) : 53 – 55 . Yilmaz, S.2001 . Spherical indicators ocurves and characterizations of some speial curves in four dimensional Lotrenzian space L, Izmir: Dept. Math., Dokuz Eylul Univ . Ph.D. dissertation Turgut, M. and Yilmaz, S.2008 . Smarandache Curves in Minkowski space-time . Int. J. Math. Comb., 3 : 51 – 55 .
Views: 6Downloads: 4Citations: 2