ON THE GAUGE STRUCTURE OF THE CALCULUS OF VARIATIONS WITH CONSTRAINTS

DOI10.1142/S0219887811005890zbMath1241.49026arXiv1101.5045OpenAlexW3098923321MaRDI QIDQ2891193

Danilo Bruno, Enrico M. Pagani, Gianvittorio Luria

Publication date: 13 June 2012

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

Full work available at URL: https://arxiv.org/abs/1101.5045

zbMATH Keywords

gauge theoryfirst variationoptimal control theoryconstrained calculus of variations

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Control of mechanical systems (70Q05) Contact manifolds (general theory) (53D10) Optimality conditions for problems involving ordinary differential equations (49K15) Linear and affine connections (53B05) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Related Items (2)

Geometric constrained variational calculus. II: The second variation (Part I) ⋮ Geometric constrained variational calculus I: Piecewise smooth extremals

Cites Work

• Some geometric aspects of variational calculus in constrained systems
• Non-holonomic Lagrangian and Hamiltonian mechanics: an intrinsic approach
• On the gauge structure of classical mechanics
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