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A CHARACTERIZATION OF CYLINDRICAL HELIX STRIP

Yıl 2010, Cilt: 59 Sayı: 1, 37 - 51, 01.02.2010
https://doi.org/10.1501/Commua1_0000000655

Öz

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).

Kaynakça

  • 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
Yıl 2010, Cilt: 59 Sayı: 1, 37 - 51, 01.02.2010
https://doi.org/10.1501/Commua1_0000000655

Öz

Kaynakça

  • 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
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Ertem Kaya Filiz

Yayımlanma Tarihi 1 Şubat 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 59 Sayı: 1

Kaynak Göster

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. Şubat 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, sy. 1 (Şubat 2010): 37-51. https://doi.org/10.1501/Commua1_0000000655.
EndNote Kaya Filiz E (01 Şubat 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., c. 59, sy. 1, ss. 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 (Şubat 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, c. 59, sy. 1, 2010, ss. 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.

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

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