Open Access
Original Articles
On Weak r-Helix Submanifolds
Evren Ziplarevrenziplar@yahoo.comDepartment of MathematicsFaculty of ScienceUniversity of AnkaraTandoğan, TurkeyView full profile → , Ali Şenolasenol@karatekin.edu.trDepartment of MathematicsFaculty of ScienceÇankiri Karatekin UniversityÇankiri, TurkeyView full profile → , Beyhan Uzunoğluyayli@science.ankara.edu.trDepartment of MathematicsFaculty of ScienceUniversity of AnkaraTandoğan, TurkeyView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 21 May 2012
- Accepted:
- 28 Oct 2012
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2012.10698616
- Pages:
- 139–148
Abstract
In this paper, we investigate special curves on a weak r-helix submanifold in Euclidean n-space Eundefined. Also, we give the important relations between weak r-helix submanifolds and the special curves such as line of curvature, asymptotic curve and helix line.
Keywords
References
- Cartan, E.1983 . , Brookline: Math. Sci. Press .
- Cermelli, P. and Di Scala, A.J.2007 . Constant angle surfaces in liquid crystals . , 87 : 1871 – 1888 .
- Di Scala, A.J.2009 . , Vol. 79 , 37 – 46 . Hambg: Abh. Math. Semin. Univ .
- Di Scala, A.J. and Ruiz-Hernández, G.2009 . Helix submanifolds of euclidean spaces . , 157 : 205 – 215 .
- Di Scala, A.J. and Ruiz-Hernández, G.2010 . Higher codimensional euclidean helix submanifolds . , 33 : 192 – 210 .
- Dillen, F., Fastenakels, J., Van der Verken, J. and Vrancken, L.2007 . Constant angle surfaces in × . , 152 : 89 – 96 .
- Dillen, F. and Munteanu, M.I.2009 . Constant angle surfaces in . , 40 ( 1 ) : 85 – 97 .
- Ghomi, M.2002 . Shadows and convexity of surfaces . , 155 ( 1 ) : 281 – 293 .
- Hicks, N.J.1974 . , London: Van Nostrand Reinhold Company .
- Lopez, R. and Munteanu, M.I.2011 . Constant angle surfaces in Minkowski space . , 18 ( 2 ) : 271 – 286 .
- Munteanu, M.I.2010 . From golden spirals to constant slope surfaces . , 51 ( 7 ) : 1 – 9 . 073507
- Ruiz-Hernández, G.2008 . Helix, shadow boundary and minimal submanifolds . , 52 ( 4 ) : 1385 – 1397 .
Views: 35Downloads: 74Citations: 0




