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D-Conformal Curvature Tensor on (LCS)_{n}-Manifold

Yıl 2018, Cilt: 10, 215 - 221, 29.12.2018

Öz

This paper deals with the study of geometry of (LCS)_{n}-manifolds. We investigate some properties of
D-conformally flat and D-conformally semi-symmetric curvature conditions on (LCS)_{n}-manifold.
We classify (LCS)_{n}-manifolds, which satisfy the curvature conditions
B(\xi,Y)P=0 and B(\xi,Y)S=0, where B is the D-conformal curvature tensor and S is the Ricci tensor of manifold.

Kaynakça

  • Adati, T. (1988). $D$-conformal para killing vectorfields in special para-Sasakian manifolds, Tensor, 47(3), 215-224.
  • Atceken, M. and Hui, S. K., Slant and pseudo-slant submanifolds of $(LCS)_{n}$manifolds,Czechoslovak Math. J., 63 (2013), 177-190.
  • Atceken, M., On geometry of submanifolds of $(LCS)_{n}$-manifolds, Int. J. Math.and Math. Sci., 2012, doi:10.1155/2012/304647.
  • At\c{c}eken, M. and Y{\i}ld{\i}r{\i}m, \"{U}., Weaklysymmetric and weakly Ricci symmetric conditions on$(LCS)_{n}$-manifolds, African Journal of Mathematics and ComputerScience Research, Vol. 6(6), (2013), 129-134.
  • Begawadi, C.S., Kumar, E.G. and Venkatesha (2005). OnIrrational $D$-conformal Curvature Tensor, Novi Sad J. Math. 35(2),85-92.
  • Chuman, G. (1982). $D$-conformal vector fields inpara-Sasakian manifolds, Tensor N.S., 36, 227-232.
  • Chuman, G. (1983). On the $D$-conformal curvaturetensor, Tensor, 40(2), 125-134.
  • Hui, S. K., On $\phi$-pseudo symmetries of (LCS)n-manifolds, Kyungpook Math. J.,53 (2013), 285-294.
  • Hui, S. K. and Atceken, M., Contact warped product semi-slant submanifolds of(LCS)n-manifolds, Acta Univ. Sapientiae Mathematica, 3(2) (2011),212-224.
  • Matsumoto, K., On Lorentzian paracontact manifolds, Bulletin of Yamagata University, vol. 12, no. 2, pp. 151-156, 1989.
  • Mihai, I. and Rosca, R., On Lorentzian para-Sasakian manifolds, Classical Anal.,World Sci. Publ., Singapore, (1992), 155-169.
  • Narain, D. and Yadav, S., On weak concircular symmetries of $(LCS)_{2n+1}$-manifolds, Global J. Sci. Frontier Research, 12 (2012), 85-94.
  • O' Neill, B., Semi-Riemannian Geometry, Academic Press, New York,1983.
  • Shah, R.J. (2014). Some curvature properties of$D$-conformal curvature tensor on $LP$-Sasakian manifolds, Journalof Institute of Science and Technology, 19(1), 30-34.
  • Shaikh, A. A., On Lorentzian almost paracontact manifolds with a structure of the concircular type,Kyungpook Mathematical Journal, vol. 43, no. 2, pp. 305-314, 2003.
  • Shaikh, A. A. and Baishya, K. K., On concircular structure spacetimes II, AmericanJ. Appl. Sci., 3(4) (2006), 1790-1794.
  • Shaikh, A. A. and Baishya, K. K., On concircular structure spacetimes II, AmericanJ. Appl. Sci., 3(4) (2006), 1790-1794.
  • Suguri, S. and Nakayama, S. (1974). D-conformaldeformations on almost contact metric structure, Tensor N.S., 28,125-129.
Yıl 2018, Cilt: 10, 215 - 221, 29.12.2018

Öz

Kaynakça

  • Adati, T. (1988). $D$-conformal para killing vectorfields in special para-Sasakian manifolds, Tensor, 47(3), 215-224.
  • Atceken, M. and Hui, S. K., Slant and pseudo-slant submanifolds of $(LCS)_{n}$manifolds,Czechoslovak Math. J., 63 (2013), 177-190.
  • Atceken, M., On geometry of submanifolds of $(LCS)_{n}$-manifolds, Int. J. Math.and Math. Sci., 2012, doi:10.1155/2012/304647.
  • At\c{c}eken, M. and Y{\i}ld{\i}r{\i}m, \"{U}., Weaklysymmetric and weakly Ricci symmetric conditions on$(LCS)_{n}$-manifolds, African Journal of Mathematics and ComputerScience Research, Vol. 6(6), (2013), 129-134.
  • Begawadi, C.S., Kumar, E.G. and Venkatesha (2005). OnIrrational $D$-conformal Curvature Tensor, Novi Sad J. Math. 35(2),85-92.
  • Chuman, G. (1982). $D$-conformal vector fields inpara-Sasakian manifolds, Tensor N.S., 36, 227-232.
  • Chuman, G. (1983). On the $D$-conformal curvaturetensor, Tensor, 40(2), 125-134.
  • Hui, S. K., On $\phi$-pseudo symmetries of (LCS)n-manifolds, Kyungpook Math. J.,53 (2013), 285-294.
  • Hui, S. K. and Atceken, M., Contact warped product semi-slant submanifolds of(LCS)n-manifolds, Acta Univ. Sapientiae Mathematica, 3(2) (2011),212-224.
  • Matsumoto, K., On Lorentzian paracontact manifolds, Bulletin of Yamagata University, vol. 12, no. 2, pp. 151-156, 1989.
  • Mihai, I. and Rosca, R., On Lorentzian para-Sasakian manifolds, Classical Anal.,World Sci. Publ., Singapore, (1992), 155-169.
  • Narain, D. and Yadav, S., On weak concircular symmetries of $(LCS)_{2n+1}$-manifolds, Global J. Sci. Frontier Research, 12 (2012), 85-94.
  • O' Neill, B., Semi-Riemannian Geometry, Academic Press, New York,1983.
  • Shah, R.J. (2014). Some curvature properties of$D$-conformal curvature tensor on $LP$-Sasakian manifolds, Journalof Institute of Science and Technology, 19(1), 30-34.
  • Shaikh, A. A., On Lorentzian almost paracontact manifolds with a structure of the concircular type,Kyungpook Mathematical Journal, vol. 43, no. 2, pp. 305-314, 2003.
  • Shaikh, A. A. and Baishya, K. K., On concircular structure spacetimes II, AmericanJ. Appl. Sci., 3(4) (2006), 1790-1794.
  • Shaikh, A. A. and Baishya, K. K., On concircular structure spacetimes II, AmericanJ. Appl. Sci., 3(4) (2006), 1790-1794.
  • Suguri, S. and Nakayama, S. (1974). D-conformaldeformations on almost contact metric structure, Tensor N.S., 28,125-129.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Ümit Yıldırım 0000-0002-7178-4223

Mehemt Atçeken 0000-0001-8665-5945

Süleyman Dirik 0000-0001-9093-1607

Yayımlanma Tarihi 29 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 10

Kaynak Göster

APA Yıldırım, Ü., Atçeken, M., & Dirik, S. (2018). D-Conformal Curvature Tensor on (LCS)_{n}-Manifold. Turkish Journal of Mathematics and Computer Science, 10, 215-221.
AMA Yıldırım Ü, Atçeken M, Dirik S. D-Conformal Curvature Tensor on (LCS)_{n}-Manifold. TJMCS. Aralık 2018;10:215-221.
Chicago Yıldırım, Ümit, Mehemt Atçeken, ve Süleyman Dirik. “D-Conformal Curvature Tensor on (LCS)_{n}-Manifold”. Turkish Journal of Mathematics and Computer Science 10, Aralık (Aralık 2018): 215-21.
EndNote Yıldırım Ü, Atçeken M, Dirik S (01 Aralık 2018) D-Conformal Curvature Tensor on (LCS)_{n}-Manifold. Turkish Journal of Mathematics and Computer Science 10 215–221.
IEEE Ü. Yıldırım, M. Atçeken, ve S. Dirik, “D-Conformal Curvature Tensor on (LCS)_{n}-Manifold”, TJMCS, c. 10, ss. 215–221, 2018.
ISNAD Yıldırım, Ümit vd. “D-Conformal Curvature Tensor on (LCS)_{n}-Manifold”. Turkish Journal of Mathematics and Computer Science 10 (Aralık 2018), 215-221.
JAMA Yıldırım Ü, Atçeken M, Dirik S. D-Conformal Curvature Tensor on (LCS)_{n}-Manifold. TJMCS. 2018;10:215–221.
MLA Yıldırım, Ümit vd. “D-Conformal Curvature Tensor on (LCS)_{n}-Manifold”. Turkish Journal of Mathematics and Computer Science, c. 10, 2018, ss. 215-21.
Vancouver Yıldırım Ü, Atçeken M, Dirik S. D-Conformal Curvature Tensor on (LCS)_{n}-Manifold. TJMCS. 2018;10:215-21.