On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor

DOI10.1007/s13398-022-01306-5zbMath1503.53095OpenAlexW4292102054WikidataQ114219797 ScholiaQ114219797MaRDI QIDQ2081213

Meng Li, Cheng Xing, Ze-Jun Hu

Publication date: 12 October 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01306-5

zbMATH Keywords

minimal submanifoldEinstein metricparallel Ricci tensorSasakian space form\(C\)-totally real

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (5)

Cyclic semi-parallel real hypersurfaces in complex Grassmannians of rank two ⋮ Locally conformally flat affine hyperspheres with parallel Ricci tensor ⋮ Some optimal inequalities for anti-invariant submanifolds of the unit sphere ⋮ A rigidity theorem for hypersurfaces of the odd-dimensional unit sphere $\mathbb S^{2n+1}(1)$ ⋮ Minimal Legendrian submanifolds in Sasakian space forms with \(C\)-parallel second fundamental form

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