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

___

  • [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.