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

Volume: 67 Number: 2 August 1, 2018
  • Süleyman Dirik
  • Mehmet Atçeken
  • Ümit Yıldırım
EN

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

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

Keywords

References

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  6. [6] Cabrerizo, J. L., Carriazo, A., Fernandez L. M, and Fernandez, M., Slant Submanifolds in Sasakian manifolds, Glasgow Math. J. 42(2000)
  7. [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. [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.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Süleyman Dirik This is me

Mehmet Atçeken This is me

Ümit Yıldırım This is me

Publication Date

August 1, 2018

Submission Date

August 1, 2018

Acceptance Date

-

Published in Issue

Year 2018 Volume: 67 Number: 2

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.Süleyman Dirik, Mehmet Atçeken, Ümit Yıldırım. 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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