Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms
DOI10.1186/s13660-020-02510-wzbMath1503.53113OpenAlexW3105273103WikidataQ115241559 ScholiaQ115241559MaRDI QIDQ2069583
Dhriti Sundar Patra, Wan Ainun Mior Othman, Akram Ali, Fatemah Y. Y. Mofarreh
Publication date: 20 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-020-02510-w
geometric inequalitiesisometriccosymplectic space formsObata differential equationwarped product submanifolds
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local submanifolds (53B25)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some inequalities for warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds
- Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions
- Conformal vector fields and eigenvectors of Laplacian operator
- Improved Chen-Ricci inequality for curvature-like tensors and its applications
- Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms
- Curvature bounds for the spectrum of a compact Riemannian manifold of constant scalar curvature
- A general inequality for submanifolds in complex-space-forms and its applications
- Characterizing spheres and Euclidean spaces by conformal vector fields
- On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms
- Ricci curvature on warped product submanifolds in spheres with geometric applications
- Chen-Ricci inequality for warped products in Kenmotsu space forms and its applications
- A note on rigidity of the almost Ricci soliton
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- C-totally real warped product submanifolds
- A note on conformal vector fields on a Riemannian manifold
- Geometry of warped product pointwise semi-slant submanifolds of cosymplectic manifolds and its applications
- Ricci curvature of submanifolds in Sasakian space forms
- Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
- Bi-warped product submanifolds of Kenmotsu manifolds and their applications
- Geometric classification of warped products isometrically immersed into Sasakian space forms
- ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS
- Mean curvature and shape operator of isometric immersions in real-space-forms
- Almost Ricci solitons isometric to spheres
- Differential Geometry of Warped Product Manifolds and Submanifolds
- A class of biminimal Legendrian submanifolds in Sasakian space forms
- Conformal gradient vector fields on a compact Riemannian manifold
- Complete Riemannian Manifolds and Some Vector Fields
This page was built for publication: Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms