[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.
Year 2015,
Volume: 8 Issue: 1, 105 - 115, 30.04.2015
[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.
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. April 2015;8(1):105-115. doi:10.36890/iejg.592803
Chicago
Akyiğit, Mahmut, Soley Ersoy, and Murat Tosun. “BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE”. International Electronic Journal of Geometry 8, no. 1 (April 2015): 105-15. https://doi.org/10.36890/iejg.592803.
EndNote
Akyiğit M, Ersoy S, Tosun M (April 1, 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, and M. Tosun, “BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE”, Int. Electron. J. Geom., vol. 8, no. 1, pp. 105–115, 2015, doi: 10.36890/iejg.592803.
ISNAD
Akyiğit, Mahmut et al. “BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE”. International Electronic Journal of Geometry 8/1 (April 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 et al. “BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE”. International Electronic Journal of Geometry, vol. 8, no. 1, 2015, pp. 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.