A Bonnet theorem for submanifolds into rotational hypersurfaces

DOI10.1007/S00025-016-0550-YzbMath1364.53060arXiv1502.03866OpenAlexW1499491114WikidataQ126255138 ScholiaQ126255138MaRDI QIDQ511825

Carlos do Rei Filho, Feliciano Vitorio

Publication date: 22 February 2017

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

Full work available at URL: https://arxiv.org/abs/1502.03866

zbMATH Keywords

fundamental theoremisometric immersionwarped structure

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• A Bonnet theorem for isometric immersions into products of space forms
• Isometric immersions into warped product spaces
• Isometric immersions into 3-dimensional homogeneous manifolds
• Existence and uniqueness of maps into affine homogeneous spaces
• Isometric immersions into products of space forms
• Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces
• Riemannian Geometry
• Unnamed Item

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