Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
Journal of Inequalities and Applications, 2020•Springer
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 N_1 and the Euclidean sphere S m 1 S^m_1 under some …
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 N_1 and the Euclidean sphere S m 1 S^m_1 under some …
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 and the Euclidean sphere under some different extrinsic conditions.
Springer
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