Over-determined systems in relation to principal curvatures

DOI10.1007/s00022-016-0343-1zbMath1376.53008OpenAlexW2482843330MaRDI QIDQ2410118

Naoya Ando

Publication date: 17 October 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-016-0343-1

zbMATH Keywords

compatibility conditionsinh-Gordon equationprincipal curvatureover-determined systemLiouville's equationsemisurface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (1)

Two generalizations of an over-determined system on a surface

Cites Work

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• Bonnet surfaces and Painlevé equations
• A TWO-DIMENSIONAL RIEMANNIAN MANIFOLD WITH TWO ONE-DIMENSIONAL DISTRIBUTIONS
• On surfaces with prescribed shape operator

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