Euler–Poincaré reduction in principal bundles by a subgroup of the structure group

The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories

Darryl D. Holm, Jerrold E. Marsden, Tudor S. Raţiu · Advances in Mathematics · 1998 · 998 citations · Full text

Natural Sciences, Mathematics, Physics +10

The Hamilton-Cartan formalism in the calculus of variations

Hubert Goldschmidt, Shlomo Sternberg · Annales de l’institut Fourier · 1973 · 440 citations · Full text

Natural Sciences, Mathematics, Physics +16

Gauge algebras, curvature and symplectic structure

Pedro L. Garcı́a · Journal of Differential Geometry · 1977 · 68 citations · Full text

Natural Sciences, Mathematics, Physics +14

Reduction in Principal Bundles: Covariant Lagrange-Poincaré Equations

Marco Castrillón López, Tudor S. Raţiu · Communications in Mathematical Physics · 2003 · 61 citations · Full text

Natural Sciences, Physics, Differential Equations +12

Symmetry Reduced Dynamics of Charged Molecular Strands

David Ellis, François Gay–Balmaz, Darryl D. Holm et al. · Archive for Rational Mechanics and Analysis · 2010 · 60 citations · Full text

Natural Sciences, Biophysics, Physics +10