Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2014, Cilt: 7 Sayı: 2, 25 - 36, 30.10.2014

Kadri Arslan , Şaban Güvenç

https://doi.org/10.36890/iejg.593980
Cited By: 1

Öz

Kaynakça

  • [1] Arslan, K. Thesis, The University of Leeds, 1993.
  • [2] Arslan, K., Aydın, Y., Öztürk, G. and Ugail, H., Biminimal Curves in Euclidean Spaces, International Electronic Journal of Geometry, Volume 2 No. 2 (2009), pp. 46-52.
  • [3] Arslan, K., Çelik, Y., Deszcz, R., Özgür, C., Submanifolds all of whose normal sections are W-curves, Far East J. Math. Sci. 5, 4 (1997), 537-544.
  • [4] Arslan, K., C¸ elik, Y. and Hacısalihoğlu, H., On harmonic Curvatures of a Frenet Curve, Common. Fac. Sci. Univ. Ank. Series A1 49 (2000), 15-23.
  • [5] Arslan, K. and Özgür C., Curves and surfaces of AW(k)-type, in: F. Defever (Ed.), J.M. Morvan (Ed.), I.V. Woestijne (Ed.), L. Verstraelen (Ed.), G. Zafindratafa (Ed.), Geometry and Topology of Submanifolds IX (Valenciennes/Lyan/Leuven, 1997), World. Sci. Publishing, 1999, pp. 21-26.
  • [6] Arslan, K. and Özgür, C., On normal sections of Veronese submanifold, Balkan J. Geom. Appl. 4, 1 (1999), 1-8.
  • [7] Arslan, K. and West, A., Product submanifolds with pointwise 3-planar normal sections, Glasgow Math. J. 37(1) (1995), 73–81.
  • [8] Ersoy, S., Masal, M. and Tosun, M., On Mannheim Partner Curves of AW(k)-type, arXiv:1001.1267.
  • [9] Gezgin, F., AW(k)-Type Curves, MSc. Thesis, Balıkesir University, 2005.
  • [10] Gray, A., Modern differential geometry of curves and surfaces, Crc Press, 1993.
  • [11] Güven¸c, S¸., Curves on Contact Pseudo-Hermitian 3-Manifolds, MSc. Thesis, Balıkesir Uni- versity, 2011.
  • [12] Inoguchi, J-I and Lee J-E., Almost contact curves in normal almost contact 3-manifolds, Accepted in J. Geom.
  • [13] Izumiya, S. and Takeuchi, N., New special curves and developable surfaces, Turkish J. Math. 28 (2004), no. 2, 153–163.
  • [14] Kılıc¸, B., Finite type curves and surfaces, PhD. Thesis, Hacettepe University, 2002.
  • [15] Kılıc¸, B. and Arslan, K., On curves and surfaces of AW(k) type, BAU¨ Fen Bil. Enst. Der., 6.1 (2004), 52-61.
  • [16] Körpınar T., Timelike Biharmonic Curves Of AW(k)-Type In The Lorentzian Heisenberg Group Heis3, Int. J. Open Problems Compt. Math., Vol. 4, No. 1, 184-190.
  • [17] Körpinar T. and Turhan, E., Spacelike Biharmonic Curves of AW(k)-type in the Lorentzian Heisenberg Group Heis3, Journal of Vectorial Relativity 5 (2010) 4, 1-7.
  • [18] Ku¨lahcı, M. and Ergüt, M., Bertrand curves of AW(k)-type in Lorentzian space, Nonlinear Anal. Theor. Meth. App. 70 (2009), No: 4, 1725-1731.
  • [19] Külahcı, M., Bekta¸s M. and Ergüt, M., Curves of AW(k)-type in 3-dimensional null cone, Phys. Lett., A 371 (2007), 275-277.
  • [20] Külahcı, M, Bekta¸s, M. and Ergüt M., On harmonic curvatures of null curves of AW(k)-type in Lorentzian space, Zeitschrift fu¨r Naturforschung, 63a: (2008), 248-252.
  • [21] Külahcı, M., Bekta¸s, M. and Ergüt, M., On harmonic curvatures of a Frenet curve in Lorentzian space, Chaos, Solitons and Fractals 41 (2009) 1668–1675.
  • [22] Külahcı, M. and Ergüt, M., Bertrand Curves of AW(k)-type in Lorentzian Space, Nonlinear Anal., 70 (2009), 1725-1731.
  • [23] Lee, J.E., On Legendre Curves in Contact Pseudo-Hermitian 3-manifolds, Bull. Aust. Math. Soc. 81 (2010), 156–164.
  • [24] Öğrenmiş, A.Ö ., On curvatures of a frenet curve in the pseudo - Galilean space G1, International Journal of the Physical Sciences, Vol. 5 (15), pp. 2363-2368.
  • [25] Öğrenmi¸s, A.O., Öztekin, H. and Ergüt, M., Some Properties of Mannheim Curves in Galilean and Pseudo - Galilean space, arXiv:1111.0424.
  • [26] Özgür, C. and Gu¨ven¸c, S¸., On Some Types of Slant Curves in Contact Pseudo-hermitian 3-manifolds, Ann. Polon. Math. 104 (2012), 217-228.
  • [27] Özgür, C. and Gezgin, F. On Some Curves of AW(k)-type, Differ. Geom. Dyn. Syst., 7 (2005), 74-80.
  • [28] Özgür, C. and Triphathi, M.M., On Legendre Curves in α-Sasakian Manifolds, Bull. Malays. Math. Sci. Soc. (2) 31 (1) (2008), 91-96.
  • [29] Öztekin, H., Null Bertrand Curves of the AW(k)-type in Minkowski 3-Space, e-Journal of New World Sciences Academy NWSA-Physical Sciences, 3A0054, 7, (3) (2012), 87-92.
  • [30] Struik, G. J., Lectures on Classical Differential Geometry, Dover, New York, NY, USA, 1988.
  • [31] Sun, J. and Pei, D., Null Cartan Bertrand curves of AW(k)-type in Minkowski 4-space, Physics Letters A 376 (2012) 2230-2233.
  • [32] Yoon, D.W., General helices of AW(k)-type in Lie group, Journal of Applied Mathematics, Accepted on 2 December 2012.

CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES

Yıl 2014, Cilt: 7 Sayı: 2, 25 - 36, 30.10.2014

Kadri Arslan , Şaban Güvenç

https://doi.org/10.36890/iejg.593980
Cited By: 1

Öz


Anahtar Kelimeler

Curves of AW(k)-type curves of osculating order d

Kaynakça

  • [1] Arslan, K. Thesis, The University of Leeds, 1993.
  • [2] Arslan, K., Aydın, Y., Öztürk, G. and Ugail, H., Biminimal Curves in Euclidean Spaces, International Electronic Journal of Geometry, Volume 2 No. 2 (2009), pp. 46-52.
  • [3] Arslan, K., Çelik, Y., Deszcz, R., Özgür, C., Submanifolds all of whose normal sections are W-curves, Far East J. Math. Sci. 5, 4 (1997), 537-544.
  • [4] Arslan, K., C¸ elik, Y. and Hacısalihoğlu, H., On harmonic Curvatures of a Frenet Curve, Common. Fac. Sci. Univ. Ank. Series A1 49 (2000), 15-23.
  • [5] Arslan, K. and Özgür C., Curves and surfaces of AW(k)-type, in: F. Defever (Ed.), J.M. Morvan (Ed.), I.V. Woestijne (Ed.), L. Verstraelen (Ed.), G. Zafindratafa (Ed.), Geometry and Topology of Submanifolds IX (Valenciennes/Lyan/Leuven, 1997), World. Sci. Publishing, 1999, pp. 21-26.
  • [6] Arslan, K. and Özgür, C., On normal sections of Veronese submanifold, Balkan J. Geom. Appl. 4, 1 (1999), 1-8.
  • [7] Arslan, K. and West, A., Product submanifolds with pointwise 3-planar normal sections, Glasgow Math. J. 37(1) (1995), 73–81.
  • [8] Ersoy, S., Masal, M. and Tosun, M., On Mannheim Partner Curves of AW(k)-type, arXiv:1001.1267.
  • [9] Gezgin, F., AW(k)-Type Curves, MSc. Thesis, Balıkesir University, 2005.
  • [10] Gray, A., Modern differential geometry of curves and surfaces, Crc Press, 1993.
  • [11] Güven¸c, S¸., Curves on Contact Pseudo-Hermitian 3-Manifolds, MSc. Thesis, Balıkesir Uni- versity, 2011.
  • [12] Inoguchi, J-I and Lee J-E., Almost contact curves in normal almost contact 3-manifolds, Accepted in J. Geom.
  • [13] Izumiya, S. and Takeuchi, N., New special curves and developable surfaces, Turkish J. Math. 28 (2004), no. 2, 153–163.
  • [14] Kılıc¸, B., Finite type curves and surfaces, PhD. Thesis, Hacettepe University, 2002.
  • [15] Kılıc¸, B. and Arslan, K., On curves and surfaces of AW(k) type, BAU¨ Fen Bil. Enst. Der., 6.1 (2004), 52-61.
  • [16] Körpınar T., Timelike Biharmonic Curves Of AW(k)-Type In The Lorentzian Heisenberg Group Heis3, Int. J. Open Problems Compt. Math., Vol. 4, No. 1, 184-190.
  • [17] Körpinar T. and Turhan, E., Spacelike Biharmonic Curves of AW(k)-type in the Lorentzian Heisenberg Group Heis3, Journal of Vectorial Relativity 5 (2010) 4, 1-7.
  • [18] Ku¨lahcı, M. and Ergüt, M., Bertrand curves of AW(k)-type in Lorentzian space, Nonlinear Anal. Theor. Meth. App. 70 (2009), No: 4, 1725-1731.
  • [19] Külahcı, M., Bekta¸s M. and Ergüt, M., Curves of AW(k)-type in 3-dimensional null cone, Phys. Lett., A 371 (2007), 275-277.
  • [20] Külahcı, M, Bekta¸s, M. and Ergüt M., On harmonic curvatures of null curves of AW(k)-type in Lorentzian space, Zeitschrift fu¨r Naturforschung, 63a: (2008), 248-252.
  • [21] Külahcı, M., Bekta¸s, M. and Ergüt, M., On harmonic curvatures of a Frenet curve in Lorentzian space, Chaos, Solitons and Fractals 41 (2009) 1668–1675.
  • [22] Külahcı, M. and Ergüt, M., Bertrand Curves of AW(k)-type in Lorentzian Space, Nonlinear Anal., 70 (2009), 1725-1731.
  • [23] Lee, J.E., On Legendre Curves in Contact Pseudo-Hermitian 3-manifolds, Bull. Aust. Math. Soc. 81 (2010), 156–164.
  • [24] Öğrenmiş, A.Ö ., On curvatures of a frenet curve in the pseudo - Galilean space G1, International Journal of the Physical Sciences, Vol. 5 (15), pp. 2363-2368.
  • [25] Öğrenmi¸s, A.O., Öztekin, H. and Ergüt, M., Some Properties of Mannheim Curves in Galilean and Pseudo - Galilean space, arXiv:1111.0424.
  • [26] Özgür, C. and Gu¨ven¸c, S¸., On Some Types of Slant Curves in Contact Pseudo-hermitian 3-manifolds, Ann. Polon. Math. 104 (2012), 217-228.
  • [27] Özgür, C. and Gezgin, F. On Some Curves of AW(k)-type, Differ. Geom. Dyn. Syst., 7 (2005), 74-80.
  • [28] Özgür, C. and Triphathi, M.M., On Legendre Curves in α-Sasakian Manifolds, Bull. Malays. Math. Sci. Soc. (2) 31 (1) (2008), 91-96.
  • [29] Öztekin, H., Null Bertrand Curves of the AW(k)-type in Minkowski 3-Space, e-Journal of New World Sciences Academy NWSA-Physical Sciences, 3A0054, 7, (3) (2012), 87-92.
  • [30] Struik, G. J., Lectures on Classical Differential Geometry, Dover, New York, NY, USA, 1988.
  • [31] Sun, J. and Pei, D., Null Cartan Bertrand curves of AW(k)-type in Minkowski 4-space, Physics Letters A 376 (2012) 2230-2233.
  • [32] Yoon, D.W., General helices of AW(k)-type in Lie group, Journal of Applied Mathematics, Accepted on 2 December 2012.
Toplam 32 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Kadri Arslan

Şaban Güvenç

Yayımlanma Tarihi 30 Ekim 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 7 Sayı: 2

Kaynak Göster

APA Arslan, K., & Güvenç, Ş. (2014). CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES. International Electronic Journal of Geometry, 7(2), 25-36. https://doi.org/10.36890/iejg.593980
AMA Arslan K, Güvenç Ş. CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES. Int. Electron. J. Geom. Ekim 2014;7(2):25-36. doi:10.36890/iejg.593980
Chicago Arslan, Kadri, ve Şaban Güvenç. “CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES”. International Electronic Journal of Geometry 7, sy. 2 (Ekim 2014): 25-36. https://doi.org/10.36890/iejg.593980.
EndNote Arslan K, Güvenç Ş (01 Ekim 2014) CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES. International Electronic Journal of Geometry 7 2 25–36.
IEEE K. Arslan ve Ş. Güvenç, “CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES”, Int. Electron. J. Geom., c. 7, sy. 2, ss. 25–36, 2014, doi: 10.36890/iejg.593980.
ISNAD Arslan, Kadri - Güvenç, Şaban. “CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES”. International Electronic Journal of Geometry 7/2 (Ekim 2014), 25-36. https://doi.org/10.36890/iejg.593980.
JAMA Arslan K, Güvenç Ş. CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES. Int. Electron. J. Geom. 2014;7:25–36.
MLA Arslan, Kadri ve Şaban Güvenç. “CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES”. International Electronic Journal of Geometry, c. 7, sy. 2, 2014, ss. 25-36, doi:10.36890/iejg.593980.
Vancouver Arslan K, Güvenç Ş. CURVES OF GENERALIZED AW(k)-TYPE IN EUCLIDEAN SPACES. Int. Electron. J. Geom. 2014;7(2):25-36.

Cited By

https://doi.org/