Normal scalar curvature and a pinching theorem in \(\mathbb{S}^m \times \mathbb R\) and \(\mathbb H^{m } \times \mathbb R\)

DOI10.1007/s11425-011-4221-xzbMath1236.53050OpenAlexW2253022309MaRDI QIDQ763678

Qun Chen, Qing Cui

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4221-x

zbMATH Keywords

product spacespinching theoremDDVV conjecture

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)

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Generalized Wintgen inequality for submanifolds in generalized (κ, µ)-space forms ⋮ Some pinching theorems for minimal submanifolds in \(\mathbb S^m(1)\times\mathbb R\) ⋮ A generalized Wintgen inequality for quaternionic CR-submanifolds ⋮ Gap theorems for submanifolds in \(\mathbb{H}^n\times\mathbb{R}\) ⋮ Pinching problems of minimal submanifolds in a product space ⋮ A DDVV type inequality and a pinching theorem for compact minimal submanifolds in a generalized cylinder \(\mathbb {S}^{n_1}(c)\times \mathbb {R}^{n_2}\) ⋮ A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS

Cites Work

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