Lagrangian Mechanics on Centered Semi-direct Products

DOI10.1007/978-1-4939-2441-7_9zbMath1365.70018arXiv1303.3883OpenAlexW1582484510MaRDI QIDQ3463517

Leonardo Colombo, Henry O. Jacobs

Publication date: 19 January 2016

Published in: Geometry, Mechanics, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3883

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items

Lagrangian dynamics on matched pairs, A microscopic analogue of the BMS group, On the structure and applications of the Bondi–Metzner–Sachs group, Second order Lagrangian dynamics on double cross product groups

Cites Work

• The geometric structure of complex fluids
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• The Euler-Poincaré equations and double bracket dissipation
• The momentum map representation of images
• Higher-Order Momentum Distributions and Locally Affine LDDMM Registration
• Semidirect Products and Reduction in Mechanics