ON FOCAL SURFACES FORMED BY TIMELIKE NORMAL RECTILINEAR CONGRUENCE

Yıl 2016, Cilt: 65 Sayı: 2, 55 - 64, 01.08.2016

Hakan Şimşek Mustafa Özdemır

https://doi.org/10.1501/Commua1_0000000759

Anahtar Kelimeler

Minkowski space, rectilinear congruence, spacelike surface, timelikefocal surfaces

Kaynakça

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• D. J. Struik, Lectures on Classical Diğ erential Geometry, Second Edition Dover Publications, INC. New York (1961).
• F. Tari, Caustics of surfaces in the Minkowski 3-space, Q. J. Math. 63(1), 189–209 (2012).
• G. Tsagas, On the rectilinear congruences whose straight lines are tangent to one parameter family of curves on a surface, Tensor, N. S., 29 (1975), 287-294.
• H. ¸Sim¸sek, M. Özdemir, The Sub-Parabolic Lines in the Minkowski 3-Space, Results in Math- ematics, 67, 417-430 (2015), Doi: 10.1007/s00025-014-0409-z.
• Hou Zhong Hua, Li li, A kind of rectilinear congruences in the Minkowski 3-Space, Journal of Mathematical Research & Exposition Nov., 2008, Vol. 28, No. 4 pp. 911–918.
• M. Özdemir, A. A. Ergin, Spacelike Darboux Curves in Minkowski 3-Space, Diğer. Geom. Dyn. Syst. 9, 131-137, 2007. Current address : Hakan ¸Sim¸sek, Department of Mathematics, Akdeniz University, Antalya, TURKEY E-mail address : [e-mail] Current address : Mustafa Özdemir, Department of Mathematics, Akdeniz University, Antalya, TURKEY E-mail address : [e-mail]