Infinitesimal variations of submanifolds

DOI10.1007/s00574-020-00220-xzbMath1494.58001arXiv1911.01863OpenAlexW3042317709MaRDI QIDQ5155879

Miguel Ibieta Jimenez, Marcos Dajczer

Publication date: 10 October 2021

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01863

zbMATH Keywords

fundamental theoremfundamental equationsinfinitesimal bendingsinfinitesimal variationsconformal infinitesimal bendings

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis (58-01) Local submanifolds (53B25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)

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A construction of Sbrana-Cartan hypersurfaces in the discrete class, Infinitesimally Moebius bendable hypersurfaces, Infinitesimally Bonnet bendable hypersurfaces, Conformal infinitesimal variations of Euclidean hypersurfaces

Cites Work

• Infinitesimal rigidity of Euclidean submanifolds
• A class of superconformal surfaces
• Bending of surfaces. III
• The infinitesimally bendable Euclidean hypersurfaces
• Infinitesimal bendings of complete Euclidean hypersurfaces
• Submanifold theory. Beyond an introduction
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