Elasticity and conformal tension via the Kaluza-Klein mechanism

DOI10.1016/S0393-0440(99)00057-1zbMath0993.53021MaRDI QIDQ1576288

N. Delaunay

Publication date: 22 November 2000

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

zbMATH Keywords

conformal structurewarped productKaluza-Klein metricconformal total tension functionalWilmore-Chen submanifold

Mathematics Subject Classification ID

Supergravity (83E50) General relativity (83C99) Applications of global differential geometry to the sciences (53C80) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (1)

Geometry and dynamics of relativistic particles with rigidity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The total squared curvature of closed curves
• Stable constant mean curvature hypersurfaces in some Riemannian manifolds
• Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces
• The conformal total tension variational problem in Kaluza-Klein supergravity.
• [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
• Willmore tori in non-standard 3-spheres
• Free Elastic Parallels in a Surface of Revolution
• Cylindrical configurations of classical string with rigidity
• A criterion for reduction of variables in the Willmore-Chen variational problem and its applications

This page was built for publication: Elasticity and conformal tension via the Kaluza-Klein mechanism