Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
Document Type
Article
Publication Date
11-1-2020
Abstract
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.
Keywords
Warped product submanifolds, Cosymplectic space forms, Obata differential equation, Isometric, Geometric inequalities
Divisions
MathematicalSciences
Funders
Deanship of Scientific Research at Princess Nourah bint Abdulrahman University,Princess Nourah Bint Abdulrahman University
Publication Title
Journal of Inequalities and Applications
Volume
2020
Issue
1
Publisher
Springer Science and Business Media Deutschland GmbH
Publisher Location
ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES