Conformal infinitesimal variations of Euclidean hypersurfaces

DOI10.1007/S10231-021-01136-ZzbMath1504.53011arXiv2005.05016OpenAlexW3177275430WikidataQ114228196 ScholiaQ114228196MaRDI QIDQ2118038

Miguel Ibieta Jimenez, Theodoros Vlachos, Marcos Dajczer

Publication date: 22 March 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05016

zbMATH Keywords

Euclidean hypersurfacesconformal infinitesimal bendingsconformal infinitesimal variations

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) Local submanifolds (53B25) Conformal structures on manifolds (53C18)

Related Items (2)

Infinitesimally Moebius bendable hypersurfaces ⋮ Conformal infinitesimal variations of submanifolds

Cites Work

• Deformation of submanifolds of homogeneous spaces
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• The infinitesimally bendable Euclidean hypersurfaces
• Correction to: ``The infinitesimally bendable Euclidean hypersurfaces
• Infinitesimal bendings of complete Euclidean hypersurfaces
• Conformal deformations of submanifolds in codimension two
• Conformal infinitesimal variations of submanifolds
• Submanifold theory. Beyond an introduction
• Infinitesimal variations of submanifolds
• Compositions of isometric immersions in higher codimension
• On Cartan's conformally deformable hypersurfaces.

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