Biconservative submanifolds in \(\mathbb {S}^n\times \mathbb {R}\) and \(\mathbb {H}^n\times \mathbb {R}\)

DOI10.1007/s12220-018-9990-9zbMath1408.53082arXiv1703.08517OpenAlexW2611793059MaRDI QIDQ1725866

Nurettin Cenk Turgay, Fernando Manfio, Abhitosh Upadhyay

Publication date: 15 February 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08517

zbMATH Keywords

biharmonic submanifoldsbiconservative submanifoldsproduct spaces \(\mathbb {S}^n\times \mathbb {R}\) and \(\mathbb {H}^n\times \mathbb {R}\)

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (6)

Some characterizations of linear Weingarten surfaces in 3-dimensional space forms ⋮ Biharmonic and biconservative hypersurfaces in space forms ⋮ Biconservative surfaces in the 4-dimensional Euclidean sphere ⋮ Biharmonic hypersurfaces in a product space Lm×R ⋮ Parallel mean curvature biconservative surfaces in complex space forms ⋮ Biharmonic \(\delta (r)\)-ideal hypersurfaces in Euclidean spaces are minimal

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