Solutions of Euler-Lagrange equations for self-interacting field of linear frames on product manifold of group space

DOI10.1016/S0034-4877(03)90005-XzbMath1048.58011MaRDI QIDQ1422464

Piotr Godlewski

Publication date: 15 February 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsanholonomic basisrepresentation of semisimple Lie group

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Semisimple Lie groups and their representations (22E46) Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (4)

Pseudo-Riemannian metric with neutral signature induced by solutions to Euler-Lagrange equations for a field of complex linear frames ⋮ Classical dynamics of fullerenes ⋮ Exponential solutions of Euler-Lagrange equations for fields of complex linear frames on real space-time manifolds ⋮ Exponential solutions of Euler-Lagrange equations for field of linear frames in nonlinear model of Born-Infeld type

Cites Work

• Unnamed Item
• Field of linear frames as a fundamental self-interacting system
• Lie-algebraic solutions of affinely-invariant equations for the field of linear frames
• Generally-covariant and \(GL(N,\mathbb{R})\)-invariant models of self-interacting field of linear frames
• Generally-covariant and \(GL(n,\mathbb{R})\)-invariant model of field of linear frames interacting with complex scalar field
• Generally-covariant and \(GL(n,\mathbb{R})\)-invariant model of field of linear frames interacting with a multiplet of complex scalar fields

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