On timelike parallel pi-Equidistant ruled surfaces with a timelike base curve in the Minkowski 3-space R3 1
DOI:
https://doi.org/10.5269/bspm.v33i2.22778Abstract
In this paper, timelike parallel pi-equidistant ruled surfaces with atimelike base curve are dened and the shape operators, shape tensor, the qth fundamental forms and the characteristic polynomials of the shape tensors of thesesurfaces are obtained. Then, some relations between them are found. Finally, anexample for the timelike parallel p2 equidistant ruled surfaces by a timelike basecurve in the Minkowski 3-space R31 is given.
References
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2. J. K. Beem and P. E. Ehrlich, Global Lorentzian geometry, Marcel Dekkar, New York, 1981.
3. T. Ikawa, On curves and submanifolds in indefinite Riemannian manifold. Tsukuba J. Math. 9 (2), 353-371, (1985).
4. M. Masal and N. KuruoÄŸlu, Some characteristic properties of the parallel p-equidistant ruled surfaces in the Euclidean space. Pure and Applied Mathematika Sciences L, (1-2), 35-42, (1999).
5. M. Masal and N. KuruoÄŸlu, Some characteristics properties of the shape operators of parallel p-equidistant ruled surfaces. Bulletin of Pure and Applied Sciences 19E.(2), 361-364, (2000).
6. B. O' Neill, Semi Riemannian geometry, Academic Press, New York, 1983.
7. A. Turgut and H. H. Hacısalihoğlu, Timelike ruled surfaces in the Minkowski 3-space. Far East J.Math.Sci. 5 (1), 83-90, (1997).
8. A. Turgut and H. H. Hacısalihoğlu, On the distribution parameter of timelike ruled surfaces in the Minkowski 3-space. Far East J.Math. Sci. 5 (2), 321-328, (1997).
9. A. Turgut and H. H. Hacısalihoğlu, Timelike ruled surfaces in the Minkowski 3-space-II. Tr. J. of Mathematics 22, 33-46, (1998).
10. I. E. Valeontis, Parallel p-Äquidistante regelflächen. Manuscripta Math. 54 , 391-404, (1986).
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2014-08-10
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