A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS

DOI10.1017/S0004972716001271zbMath1405.53082OpenAlexW4300707406MaRDI QIDQ5269726

Julien Roth

Publication date: 27 June 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716001271

zbMATH Keywords

rigidityimmersionwarped product

Mathematics Subject Classification ID

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

Related Items (5)

Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms ⋮ A Generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu manifolds ⋮ A generalized Wintgen inequality for quaternionic CR-submanifolds ⋮ A study of Wintgen like inequality for submanifolds in statistical warped product manifolds ⋮ Unnamed Item

Cites Work

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• Normal scalar curvature conjecture and its applications
• Normal scalar curvature and a pinching theorem in \(\mathbb{S}^m \times \mathbb R\) and \(\mathbb H^{m } \times \mathbb R\)
• A proof of the DDVV conjecture and its equality case
• A fundamental theorem for hypersurfaces in semi-Riemannian warped products

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