An optimal inequality related to characterizations of the contact Whitney spheres in Sasakian space forms

DOI10.1007/s12220-019-00200-8zbMath1462.53042OpenAlexW2943232368WikidataQ127965424 ScholiaQ127965424MaRDI QIDQ2658945

Jiabin Yin, Ze-Jun Hu

Publication date: 25 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-019-00200-8

zbMATH Keywords

Lagrangian submanifoldintegral submanifoldSasakian space formcontact Whitney sphere\(C\)-parallel second fundamental form

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)

Related Items (9)

Minimal Legendrian submanifolds of $\mathbb S^{9}$ with nonnegative sectional curvature ⋮ Characterization of Whitney spheres among Lagrangian submanifolds with conformal Maslov form ⋮ Sharp estimates for the first eigenvalue of Schrödinger operator in the unit sphere ⋮ On \(C\)-totally real submanifolds of \(\mathbb{S}^{2n+1}(1)\) with non-negative 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 ⋮ \(C\)-totally real submanifolds with constant sectional curvature in the Sasakian space forms ⋮ On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor ⋮ New characterizations of the Whitney spheres and the contact Whitney spheres

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