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- Title
On differential equations classifying a warped product submanifold of cosymplectic space forms.
- Authors
Ali, Akram; Mofarreh, Fatemah; Ali, Rifaqat; Badruddin, Irfan Anjum
- Abstract
In the present paper, we extend the study of (Ali et al. in J. Inequal. Appl. 2020:241, 2020) by using differential equations (García-Río et al. in J. Differ. Equ. 194(2):287–299, 2003; Pigola et al. in Math. Z. 268:777–790, 2011; Tanno in J. Math. Soc. Jpn. 30(3):509–531, 1978; Tashiro in Trans. Am. Math. Soc. 117:251–275, 1965), and we find some necessary conditions for the base of warped product submanifolds of cosymplectic space form M ˜ 2 m + 1 (ϵ) to be isometric to the Euclidean space R n or a warped product of complete manifold N and Euclidean space R .
- Subjects
DIFFERENTIAL equations; SUBMANIFOLDS; ORDINARY differential equations
- Publication
Journal of Inequalities & Applications, 2021, Vol 2021, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-021-02620-z