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 Article

Structure and characterization of ruled surfaces in Minkowski 3-space

* ,

* Corresponding author · click or hover a name for details

pp. 155–164Vol. 14Issue 2July 2016DOI: 10.1080/1726037X.2016.1250501XML
Received:
12 Jan 2016
Accepted:
07 Apr 2016
Published Online:
02 Jul 2016
Article type:
Article
Language:
EN
Article no.:
1726037X.2016.1250501
Pages:
155–164

Abstract

In this paper, we consider non developable ruled surface with spacelike ruling, timelike ruling, respectively. We give the relations between the structure functions with the curvature and torsion of the striction line of the timelike and spacelike non developable ruled surfaces. Also, we have calculated the gaussian and mean curvatures of timelike and spacelike non developable ruled surfaces using the structure functions.

Keywords

Subject Classifications

14J2651B20

References

K.Akutagawa, S.Nishikawa, The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space , Tohoku Math. J. 42 , 67 – 82 , ( 1990 ). doi: 10.2748/tmj/1178227694 J. Hoschek Avch. Math., XXIV, pp.218–224, (1973) . T.Ikaw, On curves and sub manifolds in indefinite Riemannian manifold , Tsukuba J.Math. 9 ( 2 ) 353 – 371 , ( 1985 ). HuiliLiu, YanhuaYu, SeoungDal Jung, Invariants of non-developable ruled surfaces in Euclidean 3-space , Preprint , NEU, ( 2011 ). HuiliLiu, YuanYuan, Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space , Journal of Geometry and Physics , 62 , 47 – 52 , ( 2012 ). doi: 10.1016/j.geomphys.2011.09.007 H.R.Müller, Monatsh Math, 53, pp.206–214, (1951) . B.O’Neill, Semi-Riemannian Geometry , Academic Pres , New York, ( 1983 ). YanhuaYu, HuiliLiu, SeoungDal Jung, Structure and Characterization of Ruled Surfaces in Euclidean 3-Space, Applied Mathematics and Computation, (2014) .
Views: 9Downloads: 7Citations: 0