Infinitesimally Moebius bendable hypersurfaces

DOI10.1017/s0013091523000792arXiv2307.16341OpenAlexW4390747634MaRDI QIDQ6122465

Miguel Ibieta Jimenez, Ruy Tojeiro

Publication date: 1 March 2024

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.16341

zbMATH Keywords

Möbius metricMöbius deformable hypersurfacesinfinitesimal Möbius variationinfinitesimally Möbius bendable hypersurfaces

Mathematics Subject Classification ID

Local submanifolds (53B25) Differential geometry of submanifolds of Möbius space (53A31)

Cites Work

• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• On deformable hypersurfaces in space forms
• The infinitesimally bendable Euclidean hypersurfaces
• Conformal infinitesimal variations of submanifolds
• Conformal infinitesimal variations of Euclidean hypersurfaces
• Submanifold theory. Beyond an introduction
• Deformation of hypersurfaces preserving the Möbius metric and a reduction theorem
• Infinitesimally Bonnet bendable hypersurfaces
• Infinitesimal variations of submanifolds
• On a class of submanifolds carrying an extrinsic totally umbilical foliation.
• On Cartan's conformally deformable hypersurfaces.

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