Critical curves for the total normal curvature in surfaces of 3-dimensional space forms

DOI10.1016/j.jmaa.2011.11.057zbMath1231.49036OpenAlexW2091250838WikidataQ125296924 ScholiaQ125296924MaRDI QIDQ663702

Óscar J. Garay, Manuel Barros

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.057

zbMATH Keywords

Euler-Lagrange equationreal space formrotation surfaceWeingarten surfaceminimizing curvetotal normal curvature

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Curves in Euclidean and related spaces (53A04)

Related Items (3)

Hypersurface constrained elasticae in Lorentzian space forms ⋮ Classification of rotational surfaces with constant skew curvature in 3-space forms ⋮ Extremal curves for weighted elastic energy in surfaces of 3-space forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The total squared curvature of closed curves
• Flächenkurven, die Extremalen einer Funktion der Krümmung und der Torsion sind
• Über geschlossene Weingartensche Flächen
• On closed Weingarten surfaces
• Rotational hypersurfaces of space forms with constant scalar curvature
• Rotational linear Weingarten surfaces of hyperbolic type
• Extremals of the generalized Euler-Bernoulli energy and applications
• Intrinsic equations for a relaxed elastic line on an oriented surface
• Elementary geometry in hyperbolic space
• Closed free hyperelastic curves in the hyperbolic plane and Chen-Willmore rotational hyper\-surfaces
• Geometric Theory of Columnar Phases on Curved Substrates
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• The Mylar Balloon Revisited
• What Is the Shape of a Mylar Balloon?
• Über Flächen mit einer Relation zwischen den Hauptkrümmungen. Meinem Lehrer Erhard Schmidt in Verehrung und Freundschaft zum 75. Geburtstag gewidmet.

This page was built for publication: Critical curves for the total normal curvature in surfaces of 3-dimensional space forms