Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions

DOI10.1016/j.geomphys.2016.12.001zbMath1359.53043OpenAlexW2565246418MaRDI QIDQ512096

Akram Ali, Laurian-Ioan Piscoran

Publication date: 23 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.12.001

zbMATH Keywords

Hamiltoniankinetic energywarped productsconnectedKenmotsu space formscompact Riemannian submanifoldssemi-slant immersions

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Local submanifolds (53B25)

Related Items (24)

Role of shape operator in warped product submanifolds of nearly cosymplectic manifolds ⋮ Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms ⋮ Geometry of Warped Product Semi-Slant Submanifolds in Almost Contact Metric Manifolds ⋮ Geometric inequalities for CR-warped product submanifolds of locally conformal almost cosymplectic manifolds ⋮ On warped product semi-slant submanifolds of nearly Trans-Sasakian manifolds ⋮ Null homology in warped product Lagrangian submanifolds of the nearly Kaehler \(\mathbb{S}^6\) and its applications ⋮ On Casorati curvatures of submanifolds in pointwise Kenmotsu space forms ⋮ Geometric classification of warped product submanifolds of nearly Kaehler manifolds with a slant fiber ⋮ A general inequality for CR-warped products in generalized Sasakian space form and its applications ⋮ Some remarks on a family of warped product pointwise semi-slant submanifolds of Kaehler manifold ⋮ Geometric inequality of warped product semi-slant submanifolds of locally product Riemannian manifolds ⋮ Unnamed Item ⋮ Stable currents and homology groups in a compact CR-warped product submanifold with negative constant sectional curvature ⋮ Unnamed Item ⋮ Chen inequalities for warped product pointwise bi-slant submanifolds of complex space forms and its applications ⋮ Geometric mechanics on warped product semi-slant submanifold of generalized complex space forms ⋮ Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms ⋮ Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms ⋮ Unnamed Item ⋮ Ricci curvature on warped product submanifolds in spheres with geometric applications ⋮ Chen’s type inequality forwarped product pseudo-slant submanifolds of Kenmotsu f-manifolds ⋮ Classification of warped product pointwise semi-slant submanifolds in complex space forms ⋮ Generalized inequalities of warped product submanifolds of nearly Kenmotsu f-manifolds ⋮ Warped product bi-slant submanifolds of Kenmotsu manifold

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