Buradasınız

Anasayfa » Content

ON SLANT HELICES AND GENERAL HELICES IN EUCLIDEAN -SPACE

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2011

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper, in Euclidean n -space En , we investigate the relation between slant helices and spherical helices. Moreover, in n E , we show that a slant helix and the tangent indicatrix of the slant helix have the same axis (or direction). Also, we give the important relations between slant helices, spherical helices in En and geodesic curves on a helix hypersurface in En .
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastrmx_135290_1_pp_599-610.pdf
  • 8
599-610
  • English

REFERENCES

References: 

[1] A.I. Nistor, Certain constant angle surfaces consructed on curves, arXiv:
0904.1475v1 [math.DG], (2009).
608 Yusuf YAYLI and Evren ZIPLAR
[2] A.J. Di Scala and G. Ruiz-Hernández, Helix submanifolds of euclidean spaces,
Monatsh Math 157, (2009) 205-215.
[3] A.T. Ali and R. López, Some characterizations of inclined curves in Euclidean
En space,. Novi Sad J. Math, Vol. 40, No. 1, (2010) 9-17.
[4] A.T. Ali and M. Turgut, Some characterizations of slant helices in the
Euclidean space En , arXiv: 0904.1187v1 [math.DG], (2009).
[5] Ç. Camcı, K. İlarslan, L. Kula and H.H. Hacısalihoğlu, Harmonic curvatures
and generalized helices in En , Chaos, Solitions & Fractals 40, (2009)
2590-2596.
[6] D.J. Struik, Lectures on Classical Differential Geometry, New York: Dover,
(1988).
[7] H. Gluck, Higher curvatures of curves in Euclidean space, Amer. Math.
Monthly 73, (1966) 699-704.
[8] I. Gök, Ç. Camcı and H.H. Hacısalihoğlu, n V -slant helices in Euclidean
n -space En , Math. Commun., Vol. 14, No. 2, (2009) pp. 317-329.
[9] J. Monterde, Salkowski curves revisited: A family of curves with constant
curvature and non-constant torsion, Computer Aided Geometric Design 26,
(2009) 271-278.
[10] L. Kula, N. Ekmekçi, Y. Yaylı and K. İlarslan, Characterizations of slant
helices in Euclidean 3-space, Turk J Math 34, (2010) 261-273.
[11] L. Kula and Y. Yayli, On slant helix and its spherical indicatrix, Applied
Mathematics and Computation 169, (2005) 600-607.
[12] P.D. Scofield, Curves of constant precession, Amer. Math. Monthly 102,
(1995) 531-537.
[13] R.S. Milman and G.D. Parker, Elements of differential geometry,
Prentice-Hall Inc, Englewood Cliffs, New Jersey, (1977).
[14] S. Izumiya and N. Takeuchi, New special curves and developable surfaces,
Turk J Math 28, (2004) 153-163.
[15] S. Özkaldı and Y. Yayli, Constant angle surfaces and curves in E3 ,
International electronic journal of geometry., Vol. 4, No. 1, (2011) pp. 70-78.
ON SLANT HELICES AND GENERAL HELICES IN EUCLIDEAN n-SPACE 609
[16] S. Yılmaz and M. Turgut, A new version of Bishop frame and an application
to spherical images, Journal of Mathematical Analysis and Applications., 371
(2), (2010) pg. 764-776.
[17] Y. Yaylı and E. Zıplar, Constant angle ruled surfaces in Euclidean spaces,
(2011), Submitted.

Thank you for copying data from http://www.arastirmax.com