Geometric classification of warped products isometrically immersed into Sasakian space forms

DOI10.1002/mana.201700121zbMath1423.53068OpenAlexW2896604775MaRDI QIDQ4632094

Ali Akram, Laurian-Ioan Piscoran

Publication date: 25 April 2019

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201700121

zbMATH Keywords

Hamiltoniancompact Riemannian manifoldskinetic energySasakian manifoldwarped productsSasakian space formspointwise semi-slant submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) 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 (23)

Role of shape operator in warped product submanifolds of nearly cosymplectic manifolds ⋮ The base of warped product submanifolds of Sasakian space forms characterized by differential equations ⋮ Geometry of Warped Product Semi-Slant Submanifolds in Almost Contact Metric Manifolds ⋮ Eigenvalue inequalities for the p-Laplacian operator on C-totally real submanifolds in Sasakian space forms ⋮ Geometric inequalities for CR-warped product submanifolds of locally conformal almost cosymplectic manifolds ⋮ Ricci curvature on warped product submanifolds of Sasakian-space-forms ⋮ On warped product semi-slant submanifolds of nearly Trans-Sasakian manifolds ⋮ Reilly-type inequality for the \(\Phi\)-Laplace operator on semislant submanifolds of Sasakian space forms ⋮ Certain investigations of sequential warped product submanifolds on cosymplectic manifolds ⋮ Null homology in warped product Lagrangian submanifolds of the nearly Kaehler \(\mathbb{S}^6\) and its applications ⋮ Geometric classification of warped product submanifolds of nearly Kaehler manifolds with a slant fiber ⋮ Ricci curvature for warped product submanifolds of Sasakian space forms and its applications to differential equations ⋮ Some eigenvalues estimate for the \(\phi\)-Laplace operator on slant submanifolds of Sasakian space forms ⋮ 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 ⋮ 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 ⋮ Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms ⋮ Hypersurfaces of a Sasakian manifold -- revisited ⋮ 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

This page was built for publication: Geometric classification of warped products isometrically immersed into Sasakian space forms