\(C\)-totally real submanifolds with constant sectional curvature in the Sasakian space forms

DOI10.1007/s00025-021-01459-6zbMath1480.53014OpenAlexW3176930067MaRDI QIDQ2041194

Xiuxiu Cheng, Huili He, Ze-Jun Hu

Publication date: 16 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01459-6

zbMATH Keywords

minimal submanifoldconstant sectional curvatureintegral submanifoldSasakian space form\(C\)-totally real

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (4)

Minimal Legendrian submanifolds of $\mathbb S^{9}$ with nonnegative sectional curvature ⋮ On \(C\)-totally real submanifolds of \(\mathbb{S}^{2n+1}(1)\) with non-negative sectional curvature ⋮ Minimal Legendrian submanifolds in Sasakian space forms with \(C\)-parallel second fundamental form ⋮ On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor

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