Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms

DOI10.1016/J.GEOMPHYS.2020.103768zbMath1443.53008OpenAlexW3033646642MaRDI QIDQ778993

Chul Woo Lee, Jae Won Lee, Gabriel Eduard Vîlcu

Publication date: 21 July 2020

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2020.103768

zbMATH Keywords

Casorati curvatureLegendrian submanifoldSasakian space formideal submanifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (12)

The base of warped product submanifolds of Sasakian space forms characterized by differential equations ⋮ Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures ⋮ Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms II ⋮ Recent developments in δ-Casorati curvature invariants ⋮ On \(\delta\)-Casorati curvature invariants of Lagrangian submanifolds in quaternionic Kähler manifolds of constant \(q\)-sectional curvature ⋮ Some optimal inequalities for anti-invariant submanifolds of the unit sphere ⋮ Minimal Legendrian submanifolds in Sasakian space forms with \(C\)-parallel second fundamental form ⋮ Ricci curvature for warped product submanifolds of Sasakian space forms and its applications to differential equations ⋮ Chen-Ricci inequalities with a quarter symmetric connection in generalized space forms ⋮ Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms ⋮ Hypersurfaces of a Sasakian manifold -- revisited ⋮ On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor

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