Published August 17, 2007 | Version v1
Journal article

Quasi-coordinates from the point of view of Lie algebroid structures

  • 1. Department of Theoretical Physics, University of Zaragoza (Spain)
  • 2. CMUC, Department of Mathematics, University of Coimbra (Portugal)
  • 3. CMUC, University of Coimbra and Engineering Institute of Coimbra (Portugal)

Description

A geometrical description of the Lagrangian dynamics in quasi-coordinates on the tangent bundle, using the Lie algebroid framework, is given. Linear non-holonomic systems on Lie algebroids are solved in local coordinates adapted to the constraints, through Lagrangian multipliers and Gibbs-Appell generalized methods

Additional details

Identifiers

DOI
10.1088/1751-8113/40/33/008;
PII
S1751-8113(07)38908-7;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
33
Journal Page Range
p. 10031-10048
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39012796
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; COORDINATES; LAGRANGIAN FUNCTION; LIE GROUPS
Descriptors DEC
FUNCTIONS; MATHEMATICS; SYMMETRY GROUPS