Critical curves for the total normal curvature in surfaces of 3-dimensional space forms
type: Item
instance of: scholarly article
title: Critical curves for the total normal curvature in surfaces of 3-dimensional space forms
zbMATH Open document ID: 1231.49036
author: Manuel Barros
author: Oscar J. Garay
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-27T00:00:00Z
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 53A04
zbMATH DE Number: 6009658
zbMATH Keywords: minimizing curve
zbMATH Keywords: total normal curvature
zbMATH Keywords: Euler-Lagrange equation
zbMATH Keywords: rotation surface
zbMATH Keywords: Weingarten surface
zbMATH Keywords: real space form
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.11.057
OpenAlex ID: W2091250838
Wikidata QID: Q125296924
cites work: Q3661894
cites work: Closed free hyperelastic curves in the hyperbolic plane and Chen-Willmore rotational hyper\-surfaces
cites work: Rotation Hypersurfaces in Spaces of Constant Curvature
cites work: Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
cites work: Elementary geometry in hyperbolic space
cites work: Extremals of the generalized Euler-Bernoulli energy and applications
cites work: On Spherical Image Maps Whose Jacobians Do Not Change Sign
cites work: Über Flächen mit einer Relation zwischen den Hauptkrümmungen. Meinem Lehrer Erhard Schmidt in Verehrung und Freundschaft zum 75. Geburtstag gewidmet.
cites work: Q4427950
cites work: On closed Weingarten surfaces
cites work: The total squared curvature of closed curves
cites work: Rotational hypersurfaces of space forms with constant scalar curvature
cites work: Rotational linear Weingarten surfaces of hyperbolic type
cites work: The Mylar Balloon Revisited
cites work: Intrinsic equations for a relaxed elastic line on an oriented surface
cites work: What Is the Shape of a Mylar Balloon?
cites work: Flächenkurven, die Extremalen einer Funktion der Krümmung und der Torsion sind
cites work: Geometric Theory of Columnar Phases on Curved Substrates
cites work: Q3881472
cites work: Über geschlossene Weingartensche Flächen
DOI: 10.1016/J.JMAA.2011.11.057
description: scientific article; zbMATH DE number 6009658