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Year 2014, Volume: 2 Issue: 1, 24 - 35, 01.06.2014
https://izlik.org/JA57JD64XL

Abstract

References

  • 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.
  • 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.
  • 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).
  • C¸ ¨oken A. C., Dupin Indicatrix for Pseudo-Euclidean Hypersurfaces in Pseudo-Euclidean vSpace Rn+1, Bull. Cal. Math. Soc., 89 (1997), 343-348.
  • 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
  • Supplement, 16, (2001), 151-162.
  • Duggal K. L., Bejancu A., Lightlike submanifolds of semi-Riemannian manifolds and it’s applications, Kluwer Dortrecth, 1996.
  • 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.
  • 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
  • Sci. (Math Series), 7, No.3 (1994), 221-225.
  • Hacısaliho˘glu H. H., Diferensiyel Geometri, ˙In¨on¨u ¨Universitesi Fen Edeb. Fak. Yayınları, Mat. No.2 895s., 1983.
  • 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].
  • 1, arXiv: 1003.2043v3 [math.DG].
  • Kazaz M., ¨Onder M. , Mannheim offsets of timelike ruled surfaces in Minkowski 3-space arXiv:0906.2077v5 [math.DG].
  • Kazaz M., U˘gurlu H. H. , ¨Onder M., Mannheim offsets of spacelike ruled surfaces in Minkowski 3-space, arXiv:0906.4660v3 [math.DG].
  • 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.
  • O’Neill B., Semi-Riemannian Geometry With Applications To Relativity, Academic Press, New York, London,1983.
  • 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.
  • 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.
  • 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.
  • 1Gazi University, Polatlı Science and Art Faculty, Department of Mathematics, Polatlı-TURKEY
  • E-mail address: deryasaglam@gazi.edu.tr
  • 2Afyon Vocational School, Afyon Kocatepe University, Afyon - Turkey
  • E-mail address: bozgur@aku.edu.tr

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

Year 2014, Volume: 2 Issue: 1, 24 - 35, 01.06.2014
https://izlik.org/JA57JD64XL

Abstract

In this paper we give conjugate tangent vectors and asymptoticdirections for surfaces at a constant distance from edge of regression on a1surface in E3.3

References

  • 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.
  • 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.
  • 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).
  • C¸ ¨oken A. C., Dupin Indicatrix for Pseudo-Euclidean Hypersurfaces in Pseudo-Euclidean vSpace Rn+1, Bull. Cal. Math. Soc., 89 (1997), 343-348.
  • 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
  • Supplement, 16, (2001), 151-162.
  • Duggal K. L., Bejancu A., Lightlike submanifolds of semi-Riemannian manifolds and it’s applications, Kluwer Dortrecth, 1996.
  • 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.
  • 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
  • Sci. (Math Series), 7, No.3 (1994), 221-225.
  • Hacısaliho˘glu H. H., Diferensiyel Geometri, ˙In¨on¨u ¨Universitesi Fen Edeb. Fak. Yayınları, Mat. No.2 895s., 1983.
  • 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].
  • 1, arXiv: 1003.2043v3 [math.DG].
  • Kazaz M., ¨Onder M. , Mannheim offsets of timelike ruled surfaces in Minkowski 3-space arXiv:0906.2077v5 [math.DG].
  • Kazaz M., U˘gurlu H. H. , ¨Onder M., Mannheim offsets of spacelike ruled surfaces in Minkowski 3-space, arXiv:0906.4660v3 [math.DG].
  • 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.
  • O’Neill B., Semi-Riemannian Geometry With Applications To Relativity, Academic Press, New York, London,1983.
  • 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.
  • 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.
  • 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.
  • 1Gazi University, Polatlı Science and Art Faculty, Department of Mathematics, Polatlı-TURKEY
  • E-mail address: deryasaglam@gazi.edu.tr
  • 2Afyon Vocational School, Afyon Kocatepe University, Afyon - Turkey
  • E-mail address: bozgur@aku.edu.tr
There are 24 citations in total.

Details

Authors

DERYA Sağlam This is me

Özgürboyacioğlu Kalkan This is me

Submission Date April 4, 2015
Publication Date June 1, 2014
IZ https://izlik.org/JA57JD64XL
Published in Issue Year 2014 Volume: 2 Issue: 1

Cite

APA Sağlam, D., & Kalkan, Ö. (2014). CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3). Konuralp Journal of Mathematics, 2(1), 24-35. https://izlik.org/JA57JD64XL
AMA 1.Sağlam D, Kalkan Ö. CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3). Konuralp J. Math. 2014;2(1):24-35. https://izlik.org/JA57JD64XL
Chicago Sağlam, DERYA, and Özgürboyacioğlu Kalkan. 2014. “CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3)”. Konuralp Journal of Mathematics 2 (1): 24-35. https://izlik.org/JA57JD64XL.
EndNote Sağlam D, Kalkan Ö (April 1, 2014) CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3). Konuralp Journal of Mathematics 2 1 24–35.
IEEE [1]D. Sağlam and Ö. Kalkan, “CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3)”, Konuralp J. Math., vol. 2, no. 1, pp. 24–35, Apr. 2014, [Online]. Available: https://izlik.org/JA57JD64XL
ISNAD Sağlam, DERYA - Kalkan, Özgürboyacioğlu. “CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3)”. Konuralp Journal of Mathematics 2/1 (April 1, 2014): 24-35. https://izlik.org/JA57JD64XL.
JAMA 1.Sağlam D, Kalkan Ö. CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3). Konuralp J. Math. 2014;2:24–35.
MLA Sağlam, DERYA, and Özgürboyacioğlu Kalkan. “CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3)”. Konuralp Journal of Mathematics, vol. 2, no. 1, Apr. 2014, pp. 24-35, https://izlik.org/JA57JD64XL.
Vancouver 1.DERYA Sağlam, Özgürboyacioğlu Kalkan. CONJUGATE TANGENT VECTORS AND ASYMPTOTIC DIRECTIONS FOR SURFACES AT A CONSTANT DISTANCE FROM EDGE OF REGRESSION ON A SURFACE IN E(1,3). Konuralp J. Math. [Internet]. 2014 Apr. 1;2(1):24-35. Available from: https://izlik.org/JA57JD64XL
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