Discrete Lagrange problems with constraints valued in a Lie group

DOI10.1016/j.difgeo.2022.101974OpenAlexW4318898287MaRDI QIDQ2687264

Pedro L. García, Pablo M. Chacón, Antonio Fernández

Publication date: 1 March 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.01995

zbMATH Keywords

discrete Lagrange problemscellular complexesconstraints valued in a Lie groupEuler-Poincaré reduction in discrete field theory

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Applications of differential geometry to physics (53Z05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Miscellaneous topics in calculus of variations and optimal control (49N99) Discrete differential geometry (53A70)

Cites Work

• Euler-Poincaré reduction in principal bundles by a subgroup of the structure group
• Field theories: reduction, constraints and variational integrators
• The problem of Lagrange in discrete field theory
• Euler-Poincaré reduction in principal fibre bundles and the problem of Lagrange
• Euler-Poincaré reduction for discrete field theories

This page was built for publication: Discrete Lagrange problems with constraints valued in a Lie group