On Hopf hypersurfaces of $\mathbb{S}^2 \times \mathbb{S}^2$ and $\mathbb{H}^2 \times \mathbb{H}^2$

DOI10.1016/j.geomphys.2023.104996OpenAlexW4386785395MaRDI QIDQ6141320

Zeke Yao, Dong Gao, Ze-Jun Hu, Xi Zhang

Publication date: 4 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.104996

zbMATH Keywords

shape operator Hopf hypersurface almost contact structure isometric Reeb flow recurrent Ricci tensor Reeb function

Mathematics Subject Classification ID

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

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