On the fundamental theorem of surface theory under weak regularity assumptions.

DOI10.1016/J.CRMA.2003.10.027zbMath1056.53004OpenAlexW2077889205MaRDI QIDQ1426550

Sorin Mardare

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.027

zbMATH Keywords

matrix fieldfirst and second fundamental formsGauss and Codazzi positive de finiteMainardi equations

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (2)

Fluids, elasticity, geometry, and the existence of wrinkled solutions ⋮ On the recovery of a curve isometrically immersed in a Euclidean space

Cites Work

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• The fundamental theorem of surface theory for surfaces with little regularity
• On the recovery of a surface with prescribed first and second fundamental forms.
• On isometric immersions of a Riemannian space under weak regularity assumptions.
• On the Fundamental Equations of Differential Geometry

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