CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3)

Kaynakça (28)

1. Aktan N., G¨org¨ul¨u A., ¨Oz¨usa˘glam E. and Ekici C., Conjugate Tangent Vectors and Asymp- totic Directions for Surfaces at a Constant Distance From Edge of Regression on a Surface, IJPAM, 33, No. 1 (2006), 127-133.
2. Aktan N., ¨Oz¨usa˘glam E. and G¨org¨ul¨u A., The Euler Theorem and Dupin Indicatrix for Surfaces at a Constant Distance from Edge of Regression on a Surface, International Journal of Applied Mathematics &Statistics, 14, No.S09 (2009), 37-43.
3. Bilici, M. and C¸ alı¸skan, M., On the involutes of the spacelike curve with a timelike binormal in Minkowski 3-space, International Mathematical Forum, 4, no.31, 1497-1509, (2009).
4. C¸ ¨oken A. C., Dupin Indicatrix for Pseudo-Euclidean Hypersurfaces in Pseudo-Euclidean vSpace Rn+1, Bull. Cal. Math. Soc., 89 (1997), 343-348.
5. C¸ ¨oken A. C., The Euler Theorem and Dupin indicatrix for Parallel Pseudo-Euclidean Hy- persurfaces in Pseudo-Euclidean Space in Semi-Euclidean Space En+1, Hadronic Journal ν
6. Supplement, 16, (2001), 151-162.
7. Duggal K. L., Bejancu A., Lightlike submanifolds of semi-Riemannian manifolds and it’s applications, Kluwer Dortrecth, 1996.
8. G¨org¨ul¨u A., C¸ ¨oken A. C., The Euler Theorem for Parallel Pseudo-Euclidean Hypersurfaces in Pseudo- Euclidean Space En+1, Jour Inst.Math. & Comp. Sci. (Math. Ser.), 6, No.2 (1993), 161-165.
9. G¨org¨ul¨u A., C¸ ¨oken A. C., The Dupin indicatrix for Parallel Pseudo-Euclidean Hypersurfaces in Pseudo-Euclidean Space in Semi-Euclidean Space En+1, Journ. Inst. Math. and Comp. 1
10. Sci. (Math Series), 7, No.3 (1994), 221-225.
11. Hacısaliho˘glu H. H., Diferensiyel Geometri, ˙In¨on¨u ¨Universitesi Fen Edeb. Fak. Yayınları, Mat. No.2 895s., 1983.
12. Kazaz, M., U˘gurlu, H. H., Onder, M.and Kahraman M., Mannheim partner D-curves in Minkowski 3-space E3, arXiv: 1003.2043v3 [math.DG].
13. 1, arXiv: 1003.2043v3 [math.DG].
14. Kazaz M., ¨Onder M., Mannheim offsets of timelike ruled surfaces in Minkowski 3-space arXiv:0906.2077v5 [math.DG].
15. Kazaz M., U˘gurlu H. H., ¨Onder M., Mannheim offsets of spacelike ruled surfaces in Minkowski 3-space, arXiv:0906.4660v3 [math.DG].
16. Kılı¸c A. and Hacısaliho˘glu H. H., Euler’s Theorem and the Dupin Representation for Parallel Hypersurfaces, Journal of Sci. and Arts of Gazi Univ. Ankara, 1, No.1 (1984), 21-26.
17. O’Neill B., Semi-Riemannian Geometry With Applications To Relativity, Academic Press, New York, London,1983.
18. Sa˘glam D., Boyacıo˘glu Kalkan ¨O, Surfaces at a constant distance from edge of regression on a surface in E3, Differential Geometry-Dynamical Systems, 12, (2010), 187-200.
19. Sa˘glam D., Kalkan Boyacıo˘glu ¨O., The Euler Theorem and Dupin Indicatrix for Surfaces at a Constant Distance from Edge of Regression on a Surface in E, Matematicki Vesnik, 65, No.2 (2013), 242–249.
20. Tarakci ¨O., Hacısaliho˘glu H. H., Surfaces at a constant distance from edge of regression on a surface, Applied Mathematics and Computation, 155, (2004), 81-93.
21. 1Gazi University, Polatlı Science and Art Faculty, Department of Mathematics, Polatlı-TURKEY
22. E-mail address: [email protected]
23. 2Afyon Vocational School, Afyon Kocatepe University, Afyon - Turkey
24. E-mail address: [email protected]
25. Kazaz M., ¨Onder M., Mannheim offsets of timelike ruled surfaces in Minkowski 3-space arXiv:0906.2077v5 [math.DG].
26. Kazaz M., U˘gurlu H. H., ¨Onder M., Mannheim offsets of spacelike ruled surfaces in Minkowski 3-space, arXiv:0906.4660v3 [math.DG].
27. Sa˘glam D., Boyacıo˘glu Kalkan ¨O, Surfaces at a constant distance from edge of regression on a surface in E3, Differential Geometry-Dynamical Systems, 12, (2010), 187-200.
28. Tarakci ¨O., Hacısaliho˘glu H. H., Surfaces at a constant distance from edge of regression on a surface, Applied Mathematics and Computation, 155, (2004), 81-93.