The fundamental Lepage form in variational theory for submanifolds

DOI10.1142/S0219887818501037zbMath1447.58017arXiv1709.08345MaRDI QIDQ4641545

J. Brajerčík, Zbyněk Urban

Publication date: 17 May 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08345

zbMATH Keywords

LagrangianNoether currentminimal surface functionalLepage equivalentEuler-Lagrange formZermelo conditionsGrassmann fibration

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational principles in infinite-dimensional spaces (58E30) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

Related Items (1)

On the closure property of Lepage equivalents of Lagrangians

Cites Work

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