New Bernstein type results in weighted warped products

DOI10.1155/2021/5540712zbMath1477.53065OpenAlexW3154223319WikidataQ125603003 ScholiaQ125603003MaRDI QIDQ2036032

Ning Zhang

Publication date: 28 June 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5540712

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

On Bernstein's problem of complete parabolic hypersurfaces in warped products

Cites Work

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• On Bernstein-type properties of complete hypersurfaces in weighted warped products
• Uniqueness of \(\phi\)-minimal hypersurfaces in warped product manifolds
• On the oriented Plateau problem
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• Isoperimetry of waists and concentration of maps
• Liouville type results for two-sided hypersurfaces in weighted Killing warped products
• Uniqueness of complete hypersurfaces in weighted Riemannian warped products
• On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products
• Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
• Minimal varieties in Riemannian manifolds
• Minimal cones and the Bernstein problem

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