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Tubular Surface Around a Legendre Curve in Sasaki Space

Year 2019, Volume: 9 Issue: 1, 134 - 148, 28.06.2019

Abstract

In this study, we described tubular surface around a Legendre curve in Riemannian Sasaki space with respected to Frenet frame. And than we give some definitions about special curve lying on this surface.

References

  • Belkhelfa, M., Hırıca, E., Rosca, R. and Verstraelen, L., On Legendre Curves In RemannianAnd Lorentzian Sasaki Spaces, Soochow Journal Of Mathematics, Volume 28, No. 1, pp.81-91, January 2002.
  • Blair, D.E. Riemannian Geometry of Contact and Symplectik Manifolds, Boston , 2001.
  • Doğan, F. and Yaylı, Y., On the curvatures of tubular surface with Bishop frame, Commun.Fac. Sci. Univ. Ank. Series A1 Volume 60, 1, 59-69, 2011.
  • Hacısalihoğlu, H. H., Diferensiyel Geometri II, Hacısalihoğlu Yayınları, 2000. Hacısalihoğlu, H. H. and Yildirim, A. On BCV-Sasakian Manifold, International Mathe-matical Forum, Vol. 6, no. 34, 1669 - 1684, 2011.
  • Oprea, J., Diferential Geometry and Its Applications, Prentice-Hall Inc., 1997.
  • Yildirim, A., Tubular surface around a Legendre curve In BCV spaces, New Trends inMathematical Sciences. 4(2) (2016), 61-71, 2016.
  • Yildirim, A., Tubular Surfaces Around a Timelike Focal Curve In Minkowski 3-Space, In-ternational Electronic Journal of Pure and Applied Mathematics, Volume 10 No. 2, 103-113,2016.

Sasaki Uzayında Bir Legendre Eğrisi Çevresindeki Boru Yüzeyi

Year 2019, Volume: 9 Issue: 1, 134 - 148, 28.06.2019

Abstract

Bu çalışmada, Riemannian Sasaki uzayındaki Legendre eğrisi etrafındaki tübüler yüzeyini Frenet çatısına göre tanımladık. Bu yüzeyde yatan özel eğriler hakkında bazı tanımlar verdik.

References

  • Belkhelfa, M., Hırıca, E., Rosca, R. and Verstraelen, L., On Legendre Curves In RemannianAnd Lorentzian Sasaki Spaces, Soochow Journal Of Mathematics, Volume 28, No. 1, pp.81-91, January 2002.
  • Blair, D.E. Riemannian Geometry of Contact and Symplectik Manifolds, Boston , 2001.
  • Doğan, F. and Yaylı, Y., On the curvatures of tubular surface with Bishop frame, Commun.Fac. Sci. Univ. Ank. Series A1 Volume 60, 1, 59-69, 2011.
  • Hacısalihoğlu, H. H., Diferensiyel Geometri II, Hacısalihoğlu Yayınları, 2000. Hacısalihoğlu, H. H. and Yildirim, A. On BCV-Sasakian Manifold, International Mathe-matical Forum, Vol. 6, no. 34, 1669 - 1684, 2011.
  • Oprea, J., Diferential Geometry and Its Applications, Prentice-Hall Inc., 1997.
  • Yildirim, A., Tubular surface around a Legendre curve In BCV spaces, New Trends inMathematical Sciences. 4(2) (2016), 61-71, 2016.
  • Yildirim, A., Tubular Surfaces Around a Timelike Focal Curve In Minkowski 3-Space, In-ternational Electronic Journal of Pure and Applied Mathematics, Volume 10 No. 2, 103-113,2016.
There are 7 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Abdullah Yıldırım 0000-0002-6579-3799

Publication Date June 28, 2019
Submission Date October 28, 2018
Acceptance Date June 1, 2019
Published in Issue Year 2019 Volume: 9 Issue: 1

Cite

APA Yıldırım, A. (2019). Tubular Surface Around a Legendre Curve in Sasaki Space. Adıyaman University Journal of Science, 9(1), 134-148.
AMA Yıldırım A. Tubular Surface Around a Legendre Curve in Sasaki Space. ADYU J SCI. June 2019;9(1):134-148.
Chicago Yıldırım, Abdullah. “Tubular Surface Around a Legendre Curve in Sasaki Space”. Adıyaman University Journal of Science 9, no. 1 (June 2019): 134-48.
EndNote Yıldırım A (June 1, 2019) Tubular Surface Around a Legendre Curve in Sasaki Space. Adıyaman University Journal of Science 9 1 134–148.
IEEE A. Yıldırım, “Tubular Surface Around a Legendre Curve in Sasaki Space”, ADYU J SCI, vol. 9, no. 1, pp. 134–148, 2019.
ISNAD Yıldırım, Abdullah. “Tubular Surface Around a Legendre Curve in Sasaki Space”. Adıyaman University Journal of Science 9/1 (June 2019), 134-148.
JAMA Yıldırım A. Tubular Surface Around a Legendre Curve in Sasaki Space. ADYU J SCI. 2019;9:134–148.
MLA Yıldırım, Abdullah. “Tubular Surface Around a Legendre Curve in Sasaki Space”. Adıyaman University Journal of Science, vol. 9, no. 1, 2019, pp. 134-48.
Vancouver Yıldırım A. Tubular Surface Around a Legendre Curve in Sasaki Space. ADYU J SCI. 2019;9(1):134-48.

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