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Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Original Articles

On Some Curves in Galilean Plane and 3-Dimensional Galilean Space

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pp. 189–196Vol. 10Issue 2November 2012DOI: 10.1080/1726037X.2012.10698620XML
Received:
19 Mar 2012
Accepted:
14 Jun 2012
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2012.10698620
Pages:
189–196

Abstract

In this paper, we investigate some curves of Galilean geometry in plane and in space. We state the position vectors and prove two theorems about such curves in Galilean plane G2. Besides, firstly we define the slant helix and obtain the characterization of slant helices in 3- dimensional Galilean space G3.

Keywords

References

  1. Izumiya, S. and Takeuchi, N.2004 . New Special Curves and Developable Surfaces . , 28 : 153 – 163 .
  2. Turgut, M. and Yılmaz, S.2008 . Contributions to classical differential geometry of the curves in E . , 4 : 5 – 9 .
  3. Hobson, M. P., Efstathiou, G. P. and Lasenby, A. N.2006 . , Cambridge University Press .
  4. Efimov, D., Kostyakov, I. and Kuratov, V.2009 . , 10 Dec arxiv:0912.1981 v1 [math.RT]
  5. Yaglom, I. M.1979 . , New York: Springer-Verlag Inc .
  6. Röchel, O.1984 . , Arbeitsbericht Vol. 20 , Leoben
  7. Ogrenmis, O., Bektas, M. and Ergut, M.2004 . The Characterizations for Helices in the Galilean Space G . , 16 ( 1 ) : 31 – 36 .
  8. Spirova, M.2006 . On Brocard Points in the Isotropic Plane . , 47 ( 1 ) : 167 – 174 .
  9. Kamenarovic, I.1991 . Existence theorems for ruled surfaces in the Galileanspace G . , 456 ( 10 ) : 183 – 196 .
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