- 期刊
On Invariant Submanifolds of Trans-Sasakian Manifolds
並列摘要
The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic. As a remark, particular cases of submanifolds of α-Sasakian and β-Kenmotsu manifolds are considered and the difference between the conditions for submanifolds of α-Sasakian and β-Kenmotsu manifolds to be totally geodesic is shown.
延伸閱讀
- Wang, Y., & Liu, X. (2012). Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds. International Journal of Mathematics and Mathematical Sciences, 2012(), 727-743-051. https://doi.org/10.1155/2012/361794
- De, U. C., & Sarkar, A. (2011). On pseudo-slant Submanifolds of trans-Sasakian Manifolds. Proceedings of the Estonian Academy of Sciences, 60(1), 1-11. https://www.airitilibrary.com/Article/Detail?DocID=17367530-201103-201104080010-201104080010-1-11
- Siddiqui, A. N., Siddiqi, M. D., & Shahid, M. H. (2022). Optimization on submanifolds of δ-Lorentzian trans-Sasakian manifolds with Casorati curvatures. Tamkang Journal of Mathematics, 53(4), 385-406. https://doi.org/10.5556/j.tkjm.53.2022.4075
- MATSUMOTO, K. (1983). ON CONTACT CR-SUBMANIFOLDS OF SASAKIAN MANIFOLDS. International Journal of Mathematics and Mathematical Sciences, 1983(), 313-326. https://doi.org/10.1155/S0161171283000277
- Atçeken, M. (2009). Warped Product Semi-Invariant Submanifolds in Almost Paracontact Riemannian Manifolds. Mathematical Problems in Engineering, 2009(), 177-192-110. https://doi.org/10.1155/2009/621625