Open Access
Article
Structure and characterization of ruled surfaces in Minkowski 3-space
*Fatma GülerCorresponding authorF.GULER@OMU.EDU.TRDEPARTMENT OF MATHEMATICSFACULTY ONDOKUZ MAYIS UNIVERSITYARTS AND SCIENCE, SAMSUN, TURKEYView full profile → , Emîn KasapDEPARTMENT OF MATHEMATICSFACULTY ONDOKUZ MAYIS UNIVERSITYARTS AND SCIENCE, SAMSUN, TURKEYView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 12 Jan 2016
- Accepted:
- 07 Apr 2016
- Published Online:
- 28 Oct 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: 47Downloads: 75Citations: 0




