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A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP

Year 2010, Volume: 59 Issue: 1, 37 - 51, 01.02.2010

Ertem Kaya Filiz

https://doi.org/10.1501/Commua1_0000000655
Cited By: 1

Abstract

In this paper, we investigate cylindrical helix strips. We give
a new deÖnition and a characterization of cylindrical helix strip. We use
some charecterizations of general helix and the Terquem theorem (one of the
Joachimsthal Theorems for constant distances between two surfaces).

Keywords

Helix strip cylindrical helix strip

References

  • Ekmekci, N., and Hacisaliho¼glu, H. H., and Ilarslan, K., (2000) Harmonic Curvatures in Lorentzian Space. Bulletin of the Malaysian Mathematical Sciences, 23 (2). pp. 173-179. ISSN 0126-6705.
  • Hacısaliho¼glu, H. H., Diferensiyel Geometri Cilt I. Ankara Üniversitesi, Fen Fakültesi, Be¸sevler, Ankara, 2000.
  • Hacisalihoglu, H. H. Diferensiyel Geometri. Ankara University Faculty of Science Press, 2000
  • Hacısaliho¼glu, H. H., On The Relations Between The Higher Curvatures Of A Curve and A Strip, Communications de la faculté des Sciences De Université d’ Ankara Serie A1, Tome 31, anneé:1982.
  • Hacısaliho¼glu, H. H. 2009. “A New Characterization For Inclined Curves by the Help of Spherical Representations”, International Electronic Journal of Geometry Volume:2, No:2, Pages : 71-75
  • Kele¸s, S., Manifoldlar için Joachimsthal Teoremleri , Doktora tezi, Fırat Üniversitesi, Elazı¼g, 1982.
  • Müller, H. R., Kinematik Dersleri, Ankara Üniversitesi Fen Fakültesi Yayınları, Mat. 27 (1963), 246-281.
  • O’Neill, B., Elementary Diğerential Geometry, 1961 pg 72-74.
  • Oprea, John., Diğerential Geometry and Its Applications, The Mathematical Association of America, Pearson Education, U.S.A, 2007.
  • Sabuncuo¼glu, A., Hacısaliho¼glu, H. H. 1975. Higher Curvatures of A Strip Communications
  • de la Faculté des Sciences De L’ Université d’ Ankara Série A1, Tome 24 , pp: 25-33. année: 1975.
  • Sabuncuo¼glu, A., Diferensiyel Geometri, Nobel Yayın Da¼gıtım, Ankara, 2004.
  • Weisstein, Eric., The Mathematica Journal, Volume 10, Issue 3, 2005. Introduction. Current address : F·IL·IZ ERTEM KAYA;YUSUF YAYLI: Department of Mathematics, Faculty
  • of Science, University of Ankara, E-mail address : fertem@science.ankara.edu.tr, yayli@science.ankara.edu.tr
  • hacisali@science.ankara.edu.tr

Year 2010, Volume: 59 Issue: 1, 37 - 51, 01.02.2010

Ertem Kaya Filiz

https://doi.org/10.1501/Commua1_0000000655
Cited By: 1

Abstract

References

  • Ekmekci, N., and Hacisaliho¼glu, H. H., and Ilarslan, K., (2000) Harmonic Curvatures in Lorentzian Space. Bulletin of the Malaysian Mathematical Sciences, 23 (2). pp. 173-179. ISSN 0126-6705.
  • Hacısaliho¼glu, H. H., Diferensiyel Geometri Cilt I. Ankara Üniversitesi, Fen Fakültesi, Be¸sevler, Ankara, 2000.
  • Hacisalihoglu, H. H. Diferensiyel Geometri. Ankara University Faculty of Science Press, 2000
  • Hacısaliho¼glu, H. H., On The Relations Between The Higher Curvatures Of A Curve and A Strip, Communications de la faculté des Sciences De Université d’ Ankara Serie A1, Tome 31, anneé:1982.
  • Hacısaliho¼glu, H. H. 2009. “A New Characterization For Inclined Curves by the Help of Spherical Representations”, International Electronic Journal of Geometry Volume:2, No:2, Pages : 71-75
  • Kele¸s, S., Manifoldlar için Joachimsthal Teoremleri , Doktora tezi, Fırat Üniversitesi, Elazı¼g, 1982.
  • Müller, H. R., Kinematik Dersleri, Ankara Üniversitesi Fen Fakültesi Yayınları, Mat. 27 (1963), 246-281.
  • O’Neill, B., Elementary Diğerential Geometry, 1961 pg 72-74.
  • Oprea, John., Diğerential Geometry and Its Applications, The Mathematical Association of America, Pearson Education, U.S.A, 2007.
  • Sabuncuo¼glu, A., Hacısaliho¼glu, H. H. 1975. Higher Curvatures of A Strip Communications
  • de la Faculté des Sciences De L’ Université d’ Ankara Série A1, Tome 24 , pp: 25-33. année: 1975.
  • Sabuncuo¼glu, A., Diferensiyel Geometri, Nobel Yayın Da¼gıtım, Ankara, 2004.
  • Weisstein, Eric., The Mathematica Journal, Volume 10, Issue 3, 2005. Introduction. Current address : F·IL·IZ ERTEM KAYA;YUSUF YAYLI: Department of Mathematics, Faculty
  • of Science, University of Ankara, E-mail address : fertem@science.ankara.edu.tr, yayli@science.ankara.edu.tr
  • hacisali@science.ankara.edu.tr
There are 15 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Ertem Kaya Filiz

Publication Date February 1, 2010
Published in Issue Year 2010 Volume: 59 Issue: 1

Cite

APA Kaya Filiz, E. (2010). A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 59(1), 37-51. https://doi.org/10.1501/Commua1_0000000655
AMA Kaya Filiz E. A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2010;59(1):37-51. doi:10.1501/Commua1_0000000655
Chicago Kaya Filiz, Ertem. “A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 59, no. 1 (February 2010): 37-51. https://doi.org/10.1501/Commua1_0000000655.
EndNote Kaya Filiz E (February 1, 2010) A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 59 1 37–51.
IEEE E. Kaya Filiz, “A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 59, no. 1, pp. 37–51, 2010, doi: 10.1501/Commua1_0000000655.
ISNAD Kaya Filiz, Ertem. “A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 59/1 (February 2010), 37-51. https://doi.org/10.1501/Commua1_0000000655.
JAMA Kaya Filiz E. A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2010;59:37–51.
MLA Kaya Filiz, Ertem. “A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 59, no. 1, 2010, pp. 37-51, doi:10.1501/Commua1_0000000655.
Vancouver Kaya Filiz E. A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2010;59(1):37-51.

Cited By

Harmonic curvatures of the strip in Minkowski space
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https://doi.org/10.1142/S1793557118500614

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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