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GENERAL HELICES AND BERTRAND CURVES IN RIEMANNIAN SPACE FORM

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2012

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
M.Barros gave the definition of general helices in space form in his paper [4]. In this paper, some characterizations for general helices in space forms are given. Moreover, we show that curvatures of a general helix which it has Bertrand couple holds the equation 1 c     .
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FULL TEXT (PDF): 
PDF icon arastrmx_135290_2_pp_155-161.pdf
  • 2
155-161
  • Turkish

REFERENCES

References: 

[1] A.Şenol and Y.Yaylı, LC helices in space forms, Chaos, Solitons &
Fractals,Vol: 42-4 (2009) pp 2115-2119.
[2] H.H. Hacisalihoglu, Diferensiyel Geometri, Ankara University Faculty of
Science Press, (1993).
[3] H. Kocayigit, Biharmonic curves in Lorentz 3-manifolds and contact geometry,
Doctoral thesis, Ankara University, Graduate School of Natural and Applied
Sciences (2004).
[4] M. Barros, General helices and a theorem of Lancret, Proceedings of the
American Mathematical Society, Vol:125, Number 5 (1997) pp 1503-1509.

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