2 papers
math.DG2003
Connections for general group actions
Debra Lewis, Nilima Nigam, Peter Olver
Partial connections are (singular) differential systems generalizing classical connections on principal bundles, yielding analogous decompositions for manifolds with nonfree group…
math.DG1999
Bifurcation of relative equilibria in mechanical systems with symmetry
Pascal Chossat, Debra Lewis, Juan-Pablo Ortega +1
The relative equilibria of a symmetric Hamiltonian dynamical system are the critical points of the so-called augmented Hamiltonian. The underlying geometric structure of the system…