BibTex RIS Kaynak Göster

Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold

Yıl 2014, Volume 2, 2014, 1 - 14, 26.05.2016

Öz

In this paper, the geometry of pseudo-slant submanifolds of a nearly Cosymplectic manifold is studied. We obtain the necessary and sufficient conditions on a totally umbilical proper-slant submanifold and show that it is totally geodesic if the mean curvature vector H ∈ µ. well as, we research the integrability conditions of the distributions of pseudo-slant submanifolds and prove some characterizations

Kaynakça

  • Atc¸eken, M and Hui, S. K., Slant and Pseudo-Slant Submanifolds in (LCS )n-manifolds, Czechoslovak M. J, 63(138), 177-190 (2013).
  • Atc¸eken, M and S. Dirik, Pseudo-slant submanifolds of nearly Kenmotsu manifold, Tsukuba Journal of Mathematics (2014).
  • Atc¸eken M and S. Dirik, On contact CR-submanifolds of Kenmotsu manifolds, Acta Univ. sapientiae, mathematica vol. 4, pp. 182-198 (2012).
  • Atc¸eken M, Contact CR-submanifolds of Kenmotsu manifolds, Serdica Mathematical. Journal. Vol.37, pp. 67-78(2011).
  • Blair, D., Contact manifolds in Riemannian geometry, Lecture Notes in Mathematic Springer-Verlog, New York, Vol. 509 (1976).
  • Cabrerizo, J. L., Carriazo, A., Fernandez, L. M., and Fernandez, M., Slant Submanifolds in Sasakian manifolds, Glasgow Math, J. 42:125-138 (2000).
  • Carriazo, A., New developments in slant submanifolds theory, Narasa Publishing Hause New Delhi. india (2002).
  • Chen, B.Y, Slant immersions, Bull. Austral. Math. Soc. 41:135-147 (1990).
  • Khan, V. A, Khan, M. A., and Uddin, S, Totally umbilical semi-invariant submanifolds of a nearly Kenmotsu manifolds, Soochow Journal of Mathematics Vol.33, No. 4, pp. 563-568 (2007).
  • Khan, M. A, Uddin, S., and Singh, K., A classification on totally umbilical proper slant and hemi-slant submanifolds of a nearly trans-Sasakian manifold, Differential Geometry - Dynamical Systems, Vol.13, pp. 117-127 (2011).
  • Khan, V. A., and Khan M.A, Pseudu-slant submanifolds of a sasakian manifold. India J. Pure Appl., 38,31-42 (2007).
  • Kim, J. S., and Liu, X., and Tripathi, M. M., On semi-invariant submanifolds of nearly trans-Sasakian manifolds, Int. J. Pure and Appl. Math. Sci. vol.1 pp.15-34(2004)..
  • Lotta, A., Slant Submanifolds in Contact Geometry , Bull. Math. Soc. Romania 39:183-198 (1996).
  • Papaghuic, N., Semi-slant submanifolds of a Kaehlarian manifold, An. St. Univ. Al. I. Cuza. Univ. Iasi. 40,55-61(2009).
  • S¸ ahin, B., Warped product submanifolds of Kaehler manifolds with a slant factor, Ann. Pol. Math. 95, 2007-226 (2009).
  • Turgut Vanli., A. and Sari, R., On invariant submanifolds of nearly Kenmotsu manifolds, Arab. J. Sci. Eng.36, 423-429, (2011).
  • Uddin, S¸., Ozel, C., Khan, M. A., and Singh, K., Some classification result on totally umbilical proper slant and hemi slant submanifolds of a nearly Kenmotsu manifold, international journal of pysical Scienses Vol. 7(40), pp 5538-5544 (2012).
  • Uddin,S¸., Bernardine R, Wong., and Mustafa, A. A., Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold, Hindawi Publishing Corporation Abstract and Applied Analysis, Volume , Article ID 420890, 13 pp, doi:10.1155/2012/420890 (2012).
Yıl 2014, Volume 2, 2014, 1 - 14, 26.05.2016

Öz

Kaynakça

  • Atc¸eken, M and Hui, S. K., Slant and Pseudo-Slant Submanifolds in (LCS )n-manifolds, Czechoslovak M. J, 63(138), 177-190 (2013).
  • Atc¸eken, M and S. Dirik, Pseudo-slant submanifolds of nearly Kenmotsu manifold, Tsukuba Journal of Mathematics (2014).
  • Atc¸eken M and S. Dirik, On contact CR-submanifolds of Kenmotsu manifolds, Acta Univ. sapientiae, mathematica vol. 4, pp. 182-198 (2012).
  • Atc¸eken M, Contact CR-submanifolds of Kenmotsu manifolds, Serdica Mathematical. Journal. Vol.37, pp. 67-78(2011).
  • Blair, D., Contact manifolds in Riemannian geometry, Lecture Notes in Mathematic Springer-Verlog, New York, Vol. 509 (1976).
  • Cabrerizo, J. L., Carriazo, A., Fernandez, L. M., and Fernandez, M., Slant Submanifolds in Sasakian manifolds, Glasgow Math, J. 42:125-138 (2000).
  • Carriazo, A., New developments in slant submanifolds theory, Narasa Publishing Hause New Delhi. india (2002).
  • Chen, B.Y, Slant immersions, Bull. Austral. Math. Soc. 41:135-147 (1990).
  • Khan, V. A, Khan, M. A., and Uddin, S, Totally umbilical semi-invariant submanifolds of a nearly Kenmotsu manifolds, Soochow Journal of Mathematics Vol.33, No. 4, pp. 563-568 (2007).
  • Khan, M. A, Uddin, S., and Singh, K., A classification on totally umbilical proper slant and hemi-slant submanifolds of a nearly trans-Sasakian manifold, Differential Geometry - Dynamical Systems, Vol.13, pp. 117-127 (2011).
  • Khan, V. A., and Khan M.A, Pseudu-slant submanifolds of a sasakian manifold. India J. Pure Appl., 38,31-42 (2007).
  • Kim, J. S., and Liu, X., and Tripathi, M. M., On semi-invariant submanifolds of nearly trans-Sasakian manifolds, Int. J. Pure and Appl. Math. Sci. vol.1 pp.15-34(2004)..
  • Lotta, A., Slant Submanifolds in Contact Geometry , Bull. Math. Soc. Romania 39:183-198 (1996).
  • Papaghuic, N., Semi-slant submanifolds of a Kaehlarian manifold, An. St. Univ. Al. I. Cuza. Univ. Iasi. 40,55-61(2009).
  • S¸ ahin, B., Warped product submanifolds of Kaehler manifolds with a slant factor, Ann. Pol. Math. 95, 2007-226 (2009).
  • Turgut Vanli., A. and Sari, R., On invariant submanifolds of nearly Kenmotsu manifolds, Arab. J. Sci. Eng.36, 423-429, (2011).
  • Uddin, S¸., Ozel, C., Khan, M. A., and Singh, K., Some classification result on totally umbilical proper slant and hemi slant submanifolds of a nearly Kenmotsu manifold, international journal of pysical Scienses Vol. 7(40), pp 5538-5544 (2012).
  • Uddin,S¸., Bernardine R, Wong., and Mustafa, A. A., Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold, Hindawi Publishing Corporation Abstract and Applied Analysis, Volume , Article ID 420890, 13 pp, doi:10.1155/2012/420890 (2012).
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA22TG64YB
Bölüm Makaleler
Yazarlar

Süleyman Dirik

Mehmet Atçeken

Yayımlanma Tarihi 26 Mayıs 2016
Yayımlandığı Sayı Yıl 2014 Volume 2, 2014

Kaynak Göster

APA Dirik, S., & Atçeken, M. (2016). Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold. Turkish Journal of Mathematics and Computer Science, 2(1), 1-14.
AMA Dirik S, Atçeken M. Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold. TJMCS. Mayıs 2016;2(1):1-14.
Chicago Dirik, Süleyman, ve Mehmet Atçeken. “Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold”. Turkish Journal of Mathematics and Computer Science 2, sy. 1 (Mayıs 2016): 1-14.
EndNote Dirik S, Atçeken M (01 Mayıs 2016) Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold. Turkish Journal of Mathematics and Computer Science 2 1 1–14.
IEEE S. Dirik ve M. Atçeken, “Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold”, TJMCS, c. 2, sy. 1, ss. 1–14, 2016.
ISNAD Dirik, Süleyman - Atçeken, Mehmet. “Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold”. Turkish Journal of Mathematics and Computer Science 2/1 (Mayıs 2016), 1-14.
JAMA Dirik S, Atçeken M. Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold. TJMCS. 2016;2:1–14.
MLA Dirik, Süleyman ve Mehmet Atçeken. “Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold”. Turkish Journal of Mathematics and Computer Science, c. 2, sy. 1, 2016, ss. 1-14.
Vancouver Dirik S, Atçeken M. Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold. TJMCS. 2016;2(1):1-14.