Some Variational Problems on Curves and Applications

DOI10.2991/978-94-6239-240-3_8zbMath1428.53066OpenAlexW2563512829MaRDI QIDQ4637336

Angel Ferrández

Publication date: 18 April 2018

Published in: Topics in Modern Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/978-94-6239-240-3_8

Mathematics Subject Classification ID

Global submanifolds (53C40) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

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• Massless particle with rigidity as a model for the description of bosons and fermions
• Willmore energy estimates in conformal Berger spheres
• The principle of symmetric criticality
• Hopf tori in \(S^ 3\)
• Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces
• \(\text{AdS}_3\times S^3\) (un)twisted and squashed, and an \(\text{O}(2,2;{\mathbb{Z}})\) multiplet of dyonic strings
• The Hopf fibration --- seven times in physics
• Equivariant Willmore surfaces in conformal homogeneous three spaces
• Particles with curvature and torsion in three-dimensional pseudo-Riemannian space forms
• Null scrolls as solutions of a sigma model
• The influence of elasticity on analysis: The classic heritage
• GEOMETRY OF RELATIVISTIC PARTICLES WITH TORSION
• Knotted Elastic Curves in R ³
• Relativistic particles with rigidity and torsion in D = 3 spacetimes
• A criterion for reduction of variables in the Willmore-Chen variational problem and its applications
• On a Variational Problem on Hypersurfaces
• Conformal tension in string theories and M-theory

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