Abstract
AbstractIn the present, we first obtain Chen–Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary differential equation with geometric inequalities. We derive the characterization for the base of the warped product via the first eigenvalue of the warping function. Also, it proves that there is an isometry between the base $\mathbb{N}_{1}$
N
1
and the Euclidean sphere $\mathbb{S}^{m_{1}}$
S
m
1
under some different extrinsic conditions.
Funder
Princess Nourah Bint Abdulrahman University
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference34 articles.
1. Ali, A., Laurian-Ioan, P.: Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions. J. Geom. Phys. 114, 276–290 (2017)
2. Ali, A., Laurian-Ioan, P.: Geometric classification of warped products isometrically immersed in Sasakian space forms. Math. Nachr. 292, 234–251 (2018)
3. Ali, A., Laurian-Ioan, P., Alkhaldi, A.H.: Ricci curvature on warped product submanifolds in spheres with geometric applications. J. Geom. Phys. 146, 103510 (2019)
4. Ali, A., Laurian-Ioan, P., Alkhaldi, A.H., Alqahtani, L.S.: Ricci curvature on warped product submanifolds of complex space forms and its applications. Int. J. Geom. Methods Mod. Phys. 16(9), 1950142 (2019)
5. Ali, A., Othman, W.A.M., Ozel, C.: Some inequalities for warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds. J. Inequal. Appl. 2015, 291 (2015)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献