Araştırma Makalesi

Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane

Cilt: 10 Sayı: 1 25 Haziran 2020
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Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane

Öz

    The main purpose of this study is to investigate surface with a constant slope ruling with respect to osculating plane by using Frenet Frame according to casual characters in Minkowski space. In accordance with this purpose, surface with constant slope ruling with respect to osculating plane in Minkowski Space is defined and many features of this surface are investigated. In addition, examples of the given characterizations are obtained and the geometrical structures of these examples are be examined and visualized. 

Anahtar Kelimeler

Kaynakça

  1. [1] Erdoğdu M., Yavuz A., Some Characterizations for Involute-Evolute Curve Couples with Constant Curvatures in Minkowski Space, Afyon Kocatepe University Journal of Science and Engineering,. 19, 031303, 605-614, 2019.
  2. [2] Erdoğdu, M., Parallel frame of non-lightlike curves in Minkowski space-time, International Journal of Geometric Methods in Modern Physics, 12, 16 pages, 2015.
  3. [3] López, R., Differential geometry of curves and surfaces in Lorentz-Minkowski space. International Electronic Journal of Geometry, 7, 44-107, 2014.
  4. [4] Kaya, F.E., Yavuz A., Harmonic curvatures of the strip in Minkowski space. Asian-European Journal of Mathematics, Vol. 11, No. 04, 1850061, 2018.
  5. [5] Malecek K., Szarka J., Szarkova D., Surfaces with Constant Slope with Their Generalisation, The Journal of Polish Society for Geometry and Engineering Graphics, 19, 67-77, 2009.
  6. [6] Walrave, J., Curves and Surfaces in Minkowski Space, Ph. D. thesis, K. U. Leuven, Fac. of Science Leuven, 1995.
  7. [7] Önder, M., Uğurlu, H.H., Frenet Frames and Invariants of Timelike Ruled Surfaces, Ain Shams Engineering Journal, 4(3), 507-513, 2013.
  8. [8] Wolfgang, K., Differential Geometry: Curves Surfaces Manifolds, ISBN-13: 978-0821839881, American Mathematical Society, 2002.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

25 Haziran 2020

Gönderilme Tarihi

28 Ağustos 2019

Kabul Tarihi

21 Mart 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 10 Sayı: 1

Kaynak Göster

APA
Yavuz, A., Ateş, F., & Yaylı, Y. (2020). Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane. Adıyaman University Journal of Science, 10(1), 240-255. https://doi.org/10.37094/adyujsci.612485
AMA
1.Yavuz A, Ateş F, Yaylı Y. Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane. ADYU J SCI. 2020;10(1):240-255. doi:10.37094/adyujsci.612485
Chicago
Yavuz, Ayşe, Fatma Ateş, ve Yusuf Yaylı. 2020. “Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane”. Adıyaman University Journal of Science 10 (1): 240-55. https://doi.org/10.37094/adyujsci.612485.
EndNote
Yavuz A, Ateş F, Yaylı Y (01 Haziran 2020) Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane. Adıyaman University Journal of Science 10 1 240–255.
IEEE
[1]A. Yavuz, F. Ateş, ve Y. Yaylı, “Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane”, ADYU J SCI, c. 10, sy 1, ss. 240–255, Haz. 2020, doi: 10.37094/adyujsci.612485.
ISNAD
Yavuz, Ayşe - Ateş, Fatma - Yaylı, Yusuf. “Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane”. Adıyaman University Journal of Science 10/1 (01 Haziran 2020): 240-255. https://doi.org/10.37094/adyujsci.612485.
JAMA
1.Yavuz A, Ateş F, Yaylı Y. Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane. ADYU J SCI. 2020;10:240–255.
MLA
Yavuz, Ayşe, vd. “Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane”. Adıyaman University Journal of Science, c. 10, sy 1, Haziran 2020, ss. 240-55, doi:10.37094/adyujsci.612485.
Vancouver
1.Ayşe Yavuz, Fatma Ateş, Yusuf Yaylı. Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane. ADYU J SCI. 01 Haziran 2020;10(1):240-55. doi:10.37094/adyujsci.612485