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BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE

Yıl 2015, Cilt: 8 Sayı: 1, 105 - 115, 30.04.2015
https://doi.org/10.36890/iejg.592803

Öz


Kaynakça

  • [1] Akyigit, M., Ersoy, S. and Tosun, M., Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space, Kuwait J. Sci. 41(2) (2014), 65-83.
  • [2] Beem, J. K., Ehrlich, P. E. and Easley, K. L., Global Lorentzian Geometry, Marcel Dekker, New York, 1981.
  • [3] Coken, A. C. Ciftci, U. and Ekici, C., On parallel timelike ruled surfaces with timelike rulings, Kuwait J. Sci. 1A (2008), 21–32.
  • [4] Ekici, C. and Görgülü, A., On the curvatures of (k + 1) −dimensional semi ruled surfaces in E^(n+1)_v , Math Math. Comput. Appl. 5(3) (2000), 139-148.
  • [5] Ersoy, S. and Tosun, M., Lorentzian Beltrami-Euler formula and generalized Lorentzian Lamarle formula in IRn, Matematiche (Catania) 64(1) (2009), 25-45.
  • [6] Ersoy, S. and Tosun, M., Sectional curvature of timelike ruled surface Part I: Lorentzian Beltrami-Euler formula, Iran. J. Sci. Technol. Trans. A Sci. 34(A3) (2010), 197-214.
  • [7] Ersoy, S. and Tosun, M., Lorentzian Beltrami-Meusnier Formula, Gen. Math. Notes. 18 (2013), 64–87. [8] Frank, H. and Giering, O., Verallgemeinerte regelfl¨achen, Math. Z. 150 (1976), 261–271.
  • [9] Frank, H. and Giering, O., Zur Schnittkru¨mmung verallgemeinerter Regelfla¨chen, Arch. Math. Fasc.1, 32 (1979), 86–90.
  • [10] O’Neill, B., Semi Riemannian Geometry, Academic Press, New York, 1983.
  • [11] Thas, C., Properties of ruled surfaces in the Euclidean space En, Bull. Inst. Math. Acad. Sinica. 6(1) (1978), 133–142.
  • [12] Tosun, M. and Kuruog˜lu, N., On (k + 1) −dimensional time-like ruled surface in the Minkowski space Rn, J. Inst. Math. Comput. Sci. Math. Ser. 11(1) (1998), 1-9.
  • [13] Yoon, D. W. and Park, J. H., On curvatures of ruled surfaces in Minkowski 3-spaces, Note Mat., 2(2) (2008) 43–56.
Yıl 2015, Cilt: 8 Sayı: 1, 105 - 115, 30.04.2015
https://doi.org/10.36890/iejg.592803

Öz

Kaynakça

  • [1] Akyigit, M., Ersoy, S. and Tosun, M., Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space, Kuwait J. Sci. 41(2) (2014), 65-83.
  • [2] Beem, J. K., Ehrlich, P. E. and Easley, K. L., Global Lorentzian Geometry, Marcel Dekker, New York, 1981.
  • [3] Coken, A. C. Ciftci, U. and Ekici, C., On parallel timelike ruled surfaces with timelike rulings, Kuwait J. Sci. 1A (2008), 21–32.
  • [4] Ekici, C. and Görgülü, A., On the curvatures of (k + 1) −dimensional semi ruled surfaces in E^(n+1)_v , Math Math. Comput. Appl. 5(3) (2000), 139-148.
  • [5] Ersoy, S. and Tosun, M., Lorentzian Beltrami-Euler formula and generalized Lorentzian Lamarle formula in IRn, Matematiche (Catania) 64(1) (2009), 25-45.
  • [6] Ersoy, S. and Tosun, M., Sectional curvature of timelike ruled surface Part I: Lorentzian Beltrami-Euler formula, Iran. J. Sci. Technol. Trans. A Sci. 34(A3) (2010), 197-214.
  • [7] Ersoy, S. and Tosun, M., Lorentzian Beltrami-Meusnier Formula, Gen. Math. Notes. 18 (2013), 64–87. [8] Frank, H. and Giering, O., Verallgemeinerte regelfl¨achen, Math. Z. 150 (1976), 261–271.
  • [9] Frank, H. and Giering, O., Zur Schnittkru¨mmung verallgemeinerter Regelfla¨chen, Arch. Math. Fasc.1, 32 (1979), 86–90.
  • [10] O’Neill, B., Semi Riemannian Geometry, Academic Press, New York, 1983.
  • [11] Thas, C., Properties of ruled surfaces in the Euclidean space En, Bull. Inst. Math. Acad. Sinica. 6(1) (1978), 133–142.
  • [12] Tosun, M. and Kuruog˜lu, N., On (k + 1) −dimensional time-like ruled surface in the Minkowski space Rn, J. Inst. Math. Comput. Sci. Math. Ser. 11(1) (1998), 1-9.
  • [13] Yoon, D. W. and Park, J. H., On curvatures of ruled surfaces in Minkowski 3-spaces, Note Mat., 2(2) (2008) 43–56.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Mahmut Akyiğit

Soley Ersoy

Murat Tosun

Yayımlanma Tarihi 30 Nisan 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 8 Sayı: 1

Kaynak Göster

APA Akyiğit, M., Ersoy, S., & Tosun, M. (2015). BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE. International Electronic Journal of Geometry, 8(1), 105-115. https://doi.org/10.36890/iejg.592803
AMA Akyiğit M, Ersoy S, Tosun M. BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE. Int. Electron. J. Geom. Nisan 2015;8(1):105-115. doi:10.36890/iejg.592803
Chicago Akyiğit, Mahmut, Soley Ersoy, ve Murat Tosun. “BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE”. International Electronic Journal of Geometry 8, sy. 1 (Nisan 2015): 105-15. https://doi.org/10.36890/iejg.592803.
EndNote Akyiğit M, Ersoy S, Tosun M (01 Nisan 2015) BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE. International Electronic Journal of Geometry 8 1 105–115.
IEEE M. Akyiğit, S. Ersoy, ve M. Tosun, “BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE”, Int. Electron. J. Geom., c. 8, sy. 1, ss. 105–115, 2015, doi: 10.36890/iejg.592803.
ISNAD Akyiğit, Mahmut vd. “BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE”. International Electronic Journal of Geometry 8/1 (Nisan 2015), 105-115. https://doi.org/10.36890/iejg.592803.
JAMA Akyiğit M, Ersoy S, Tosun M. BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE. Int. Electron. J. Geom. 2015;8:105–115.
MLA Akyiğit, Mahmut vd. “BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE”. International Electronic Journal of Geometry, c. 8, sy. 1, 2015, ss. 105-1, doi:10.36890/iejg.592803.
Vancouver Akyiğit M, Ersoy S, Tosun M. BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE. Int. Electron. J. Geom. 2015;8(1):105-1.