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
- [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.
Details
Primary Language
English
Subjects
-
Journal Section
-
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
