On some hypersurfaces of \(\mathbb{S}^2\times\mathbb{S}^2\) and \(\mathbb{H}^2\times\mathbb{H}^2\)

DOI10.1007/S13398-024-01612-0zbMATH Open1541.53023MaRDI QIDQ6577482

Zejun Hu, Xi Zhang

Publication date: 24 July 2024

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

zbMATH Keywords

real hypersurfaceshape operatorHopf hypersurfacestructure Jacobi operatorproduct angle function

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local differential geometry of Hermitian and Kählerian structures (53B35) Local submanifolds (53B25)

Cites Work

• Title not available (Why is that?)
• Constant angle surfaces in product spaces
• Integral geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in \(S^ 2\times S^ 2\).
• Non-existence of real hypersurfaces equipped with recurrent structure Jacobi operator in nonflat complex space forms
• Curvature of Hopf hypersurfaces in a complex space form
• Almost complex curves and Hopf hypersurfaces in the nearly Kähler 6-sphere
• Generalized Killing Ricci tensor for real hypersurfaces in the complex hyperbolic quadric
• On the geometry of hypersurfaces in \({\mathbb{S}}^2 \times{\mathbb{S}}^2 \)
• On hypersurfaces of \(\mathbb{S}^2 \times \mathbb{S}^2\)
• Minimal surfaces in \(\mathbb{S}^{2} \times \mathbb{S}^{2}\)
• Semi-parallel real hypersurfaces in complex two-plane Grassmannians
• Minimal Lagrangian surfaces in \(\mathbb S^2 \times \mathbb S^2\)
• Totally geodesic submanifolds of the complex quadric
• Non-existence of real hypersurfaces with parallel structure Jacobi operator in nonflat complex space forms
• The structure Jacobi operator for real hypersurfaces in \({{\mathbb{CP}}^2}\) and \({{\mathbb{C} \mathbb H}^2}\)
• Transversal Killing operators on real hypersurfaces in nonflat complex space forms
• Surfaces with parallel mean curvature vector in $\mathbb{S}^{2}×\mathbb{S}^{2}$ and $\mathbb{H}^{2}×\mathbb{H}^{2}$
• Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric
• Real hypersurfaces in complex Grassmannians of rank two with semi-parallel structure Jacobi operator
• Real hypersurfaces in the complex hyperbolic quadric with parallel structure Jacobi operator
• On real hypersurfaces of 𝕊²×𝕊²
• Cyclic semiparallel Ricci tensor for harmonic curvature in the complex quadric
• On Hopf hypersurfaces of \(\mathbb{S}^2 \times \mathbb{S}^2\) and \(\mathbb{H}^2 \times \mathbb{H}^2\)
• On hypersurfaces of \(\mathbb{H}^2 \times \mathbb{H}^2\)

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