Araştırma Makalesi

Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve

Cilt: 25 Sayı: 3 1 Ekim 2022
PDF İndir
EN

Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve

Öz

We construct surfaces with constant mean curvature through a given timelike curve. We show that, it is possible to obtain such surfaces for any given timelike curve. The validity of the method supported with illustrative examples.

Anahtar Kelimeler

Kaynakça

  1. [1] O'Neill B., “Semi-Riemannian Geometry with Applications to Relativity”, Academic Press Lim., London, (1983).
  2. [2] Willmore T.J., “An Introduction to Differential Geometry”, Oxford University Press, Delhi, (1959).
  3. [3] do Carmo M.P., “Differential Geometry of Curves and Surfaces”, Englewood Cliffs, Prentice Hall, (1976).
  4. [4] Wang G.J., Tang K. and Tai C.L., “Parametric representation of a surface pencil with a common spatial geodesic”, Comput. Aided Design, 36: 447-459, (2004).
  5. [5] Kasap E. and Akyıldız F.T., “Surfaces with common geodesic in Minkowski 3-space”, Appl. Math. Comput., 177: 260-270, (2006).
  6. [6] Li C.Y., Wang R.H. and Zhu C.G., “Parametric representation of a surface pencil with a common line of curvature”, Comput. Aided Design, 43: 1110-1117, (2011).
  7. [7] Bayram E., Güler F. and Kasap E., “Parametric representation of a surface pencil with a common asymptotic curve”, Comput. Aided Design, 44: 637-643, (2012).
  8. [8] Bayram E. and Bilici M., “Surface family with a common involute asymptotic curve”, Int. J. Geom. Methods Modern Phys., 13: 1650062, (2016).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Ekim 2022

Gönderilme Tarihi

29 Ocak 2021

Kabul Tarihi

18 Mayıs 2021

Yayımlandığı Sayı

Yıl 2022 Cilt: 25 Sayı: 3

Kaynak Göster

APA
Bayram, E. (2022). Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve. Politeknik Dergisi, 25(3), 1211-1215. https://doi.org/10.2339/politeknik.870539
AMA
1.Bayram E. Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve. Politeknik Dergisi. 2022;25(3):1211-1215. doi:10.2339/politeknik.870539
Chicago
Bayram, Ergin. 2022. “Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve”. Politeknik Dergisi 25 (3): 1211-15. https://doi.org/10.2339/politeknik.870539.
EndNote
Bayram E (01 Ekim 2022) Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve. Politeknik Dergisi 25 3 1211–1215.
IEEE
[1]E. Bayram, “Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve”, Politeknik Dergisi, c. 25, sy 3, ss. 1211–1215, Eki. 2022, doi: 10.2339/politeknik.870539.
ISNAD
Bayram, Ergin. “Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve”. Politeknik Dergisi 25/3 (01 Ekim 2022): 1211-1215. https://doi.org/10.2339/politeknik.870539.
JAMA
1.Bayram E. Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve. Politeknik Dergisi. 2022;25:1211–1215.
MLA
Bayram, Ergin. “Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve”. Politeknik Dergisi, c. 25, sy 3, Ekim 2022, ss. 1211-5, doi:10.2339/politeknik.870539.
Vancouver
1.Ergin Bayram. Construction of Surfaces with Constant Mean Curvature Along a Timelike Curve. Politeknik Dergisi. 01 Ekim 2022;25(3):1211-5. doi:10.2339/politeknik.870539

Cited By

 
TARANDIĞIMIZ DİZİNLER (ABSTRACTING / INDEXING)
181341319013191 13189 13187 13188 18016 

download Bu eser Creative Commons Atıf-AynıLisanslaPaylaş 4.0 Uluslararası ile lisanslanmıştır.