Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms

被引：6

作者：

Ali, Akram ^{[1
]}

Mofarreh, Fatemah ^{[2
]}

Mior Othman, Wan Ainun ^{[3
]}

Patra, Dhriti Sundar ^{[4
]}

机构：

[1] King Khalid Univ, Coll Sci, Dept Math, Abha 61421, Saudi Arabia

[2] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia

[3] Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur, Malaysia

[4] Birla Inst Technol, Dept Appl Math, Ranchi, Bihar, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Warped product submanifolds; Cosymplectic space forms; Obata differential equation; Isometric; Geometric inequalities; CONFORMAL VECTOR-FIELDS; RICCI CURVATURE; SHAPE OPERATOR; INEQUALITY; IMMERSIONS;

D O I：

10.1186/s13660-020-02510-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 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 N-1 and the Euclidean sphere S-m1 under some different extrinsic conditions.

引用

页数：17

共 34 条

[1]

Ali A., 2018, Math. Nechr., V292, P234

[2] Ricci curvature on warped product submanifolds in spheres with geometric applications [J].