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Year 2018, Volume: 67 Issue: 2, 264 - 281, 01.08.2018
https://izlik.org/JA59AH94JM

Abstract

References

  • [1] Ali, A., Othman W. A. M. and Ozel, C., Some inequalities for warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds, Journal of Inequalities and Its Applications 1(2015), 1-7, DOI-10.1186/s13660-015-0802-5.
  • [2] Lotta, A., Slant submanifolds in contact geometry, Bull. Math. Soc. Sci. Math. Roum., Nouv. Ser. 39(1996), 183-198.
  • [3] Chen, B.Y., Geometry of Slant Submanifold, Kath. ‹niv. Leuven, Dept. of Mathematics, Leuven, 1990.
  • [4] Chen, B. Y., Slant immersions, Bull. Austral. Math. Soc. 41(1990), 135-147.
  • [5] Cabrerizo, J. L., Carriazo, A., Fernandez L.M., and Fernandez, M., Structure on a slant submanifold of a contact manifold, Indian J. Pure Appl. Math. 31(2000), 857-864.
  • [6] Cabrerizo, J. L., Carriazo, A., Fernandez L. M, and Fernandez, M., Slant Submanifolds in Sasakian manifolds, Glasgow Math. J. 42(2000)
  • [7] Khan, M. A., Uddin S. and Singh, K., A classiÖcation on totally umbilical proper slant and hemi-slant submanifolds of a nearly trans-Sasakian manifold, Di§ erential GeometryDynamical Systems, Vol.13(2011), 117-127.
  • [8] AtÁeken, M., On Geometry of Submanifolds of (LCS)n-Manifolds. International Journal of Mathematics and Mathematical Sciences Volume 2012, Article ID 304647, 11 pages doi:10.1155/2012/304647.
  • [9] AtÁeken M. and Hui, S. K., Slant and Pseudo-Slant Submanifolds in (LCS)n-manifolds, Czechoslovak M. J, 63(138)(2013), 177-190.
  • [10] AtÁeken, M. and Dirik, S., On the geometry of pseudo-slant submanifolds of a Kenmotsu manifold, Gulf Joural of Mathematics 2(2)(2014), 51-66.
  • [11] AtÁeken, M. and Dirik, S., Pseudo-slant submanifolds of nearly Kenmotsu manifold. Serdica Mathematical Journal 41, 243-262,(2015).
  • [12] Papaghuic, N., Semi-slant submanifolds of a Kaehlarian manifold, An. St. Univ. Al. I. Cuza. Univ. Iasi. 40(2009), 55-61.rr
  • [13] Dirik S. and AtÁeken, M., Pseudo-slant submanifolds of nearly Cosymplectic manifold, Turkish Journal of Mathematics and Computer Science, vol. 2014. Article ID 20140035, 14 pages, (2013).
  • [14] Uddin, S., Ozel, C., Khan M. A. and Singh, K., Some classiÖcation result on totally umbilical proper slant and hemi slant submanifolds of a nearly Kenmotsu manifold, International Journal of Physical Scienses, Vol. 7(40)(2012), 5538-5544.
  • [15] 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).
  • [16] Khan V. A. and Khan, M. A., Pseudo-slant submanifolds of a Sasakian manifold, Indian J. Pure Appl. Math. 38(1)(2007), 31-42.

ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD

Year 2018, Volume: 67 Issue: 2, 264 - 281, 01.08.2018
https://izlik.org/JA59AH94JM

Abstract

Abstract. In this paper, we study the pseudo-slant submanifolds of a nearly
Sasakian manifold. We characteterize a totally umbilical properpseudo-slant
submanifolds and Önd that a necessary and su¢ cient condition for such submanifolds
totally geodesic. Also the integrability conditions of distributions of
pseudo-slant submanifolds of a nearly Sasakian manifold are investigated

References

  • [1] Ali, A., Othman W. A. M. and Ozel, C., Some inequalities for warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds, Journal of Inequalities and Its Applications 1(2015), 1-7, DOI-10.1186/s13660-015-0802-5.
  • [2] Lotta, A., Slant submanifolds in contact geometry, Bull. Math. Soc. Sci. Math. Roum., Nouv. Ser. 39(1996), 183-198.
  • [3] Chen, B.Y., Geometry of Slant Submanifold, Kath. ‹niv. Leuven, Dept. of Mathematics, Leuven, 1990.
  • [4] Chen, B. Y., Slant immersions, Bull. Austral. Math. Soc. 41(1990), 135-147.
  • [5] Cabrerizo, J. L., Carriazo, A., Fernandez L.M., and Fernandez, M., Structure on a slant submanifold of a contact manifold, Indian J. Pure Appl. Math. 31(2000), 857-864.
  • [6] Cabrerizo, J. L., Carriazo, A., Fernandez L. M, and Fernandez, M., Slant Submanifolds in Sasakian manifolds, Glasgow Math. J. 42(2000)
  • [7] Khan, M. A., Uddin S. and Singh, K., A classiÖcation on totally umbilical proper slant and hemi-slant submanifolds of a nearly trans-Sasakian manifold, Di§ erential GeometryDynamical Systems, Vol.13(2011), 117-127.
  • [8] AtÁeken, M., On Geometry of Submanifolds of (LCS)n-Manifolds. International Journal of Mathematics and Mathematical Sciences Volume 2012, Article ID 304647, 11 pages doi:10.1155/2012/304647.
  • [9] AtÁeken M. and Hui, S. K., Slant and Pseudo-Slant Submanifolds in (LCS)n-manifolds, Czechoslovak M. J, 63(138)(2013), 177-190.
  • [10] AtÁeken, M. and Dirik, S., On the geometry of pseudo-slant submanifolds of a Kenmotsu manifold, Gulf Joural of Mathematics 2(2)(2014), 51-66.
  • [11] AtÁeken, M. and Dirik, S., Pseudo-slant submanifolds of nearly Kenmotsu manifold. Serdica Mathematical Journal 41, 243-262,(2015).
  • [12] Papaghuic, N., Semi-slant submanifolds of a Kaehlarian manifold, An. St. Univ. Al. I. Cuza. Univ. Iasi. 40(2009), 55-61.rr
  • [13] Dirik S. and AtÁeken, M., Pseudo-slant submanifolds of nearly Cosymplectic manifold, Turkish Journal of Mathematics and Computer Science, vol. 2014. Article ID 20140035, 14 pages, (2013).
  • [14] Uddin, S., Ozel, C., Khan M. A. and Singh, K., Some classiÖcation result on totally umbilical proper slant and hemi slant submanifolds of a nearly Kenmotsu manifold, International Journal of Physical Scienses, Vol. 7(40)(2012), 5538-5544.
  • [15] 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).
  • [16] Khan V. A. and Khan, M. A., Pseudo-slant submanifolds of a Sasakian manifold, Indian J. Pure Appl. Math. 38(1)(2007), 31-42.
There are 16 citations in total.

Details

Other ID JA35KU37RK
Authors

Süleyman Dirik This is me

Mehmet Atçeken This is me

Ümit Yıldırım This is me

Submission Date August 1, 2018
Publication Date August 1, 2018
IZ https://izlik.org/JA59AH94JM
Published in Issue Year 2018 Volume: 67 Issue: 2

Cite

APA Dirik, S., Atçeken, M., & Yıldırım, Ü. (2018). ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 264-281. https://izlik.org/JA59AH94JM
AMA 1.Dirik S, Atçeken M, Yıldırım Ü. ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):264-281. https://izlik.org/JA59AH94JM
Chicago Dirik, Süleyman, Mehmet Atçeken, and Ümit Yıldırım. 2018. “ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 (2): 264-81. https://izlik.org/JA59AH94JM.
EndNote Dirik S, Atçeken M, Yıldırım Ü (August 1, 2018) ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 2 264–281.
IEEE [1]S. Dirik, M. Atçeken, and Ü. Yıldırım, “ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 2, pp. 264–281, Aug. 2018, [Online]. Available: https://izlik.org/JA59AH94JM
ISNAD Dirik, Süleyman - Atçeken, Mehmet - Yıldırım, Ümit. “ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/2 (August 1, 2018): 264-281. https://izlik.org/JA59AH94JM.
JAMA 1.Dirik S, Atçeken M, Yıldırım Ü. ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:264–281.
MLA Dirik, Süleyman, et al. “ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 2, Aug. 2018, pp. 264-81, https://izlik.org/JA59AH94JM.
Vancouver 1.Dirik S, Atçeken M, Yıldırım Ü. ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 2018 Aug. 1;67(2):264-81. Available from: https://izlik.org/JA59AH94JM

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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