30 citations · 147 across the 15 of their papers we have counts for
4 papers · 1 filter
Singular cosphere bundle reduction
Oana Dragulete, Tudor S. Ratiu, Miguel Rodriguez-Olmos
This paper studies singular contact reduction for cosphere bundles at the zero value of the momentum map. A stratification of the singular quotient, finer than the contact one and…
Stability of relative equilibria with singular momentum values in simple mechanical systems
Miguel Rodriguez-Olmos
A method for testing -stability of relative equilibria in Hamiltonian systems of the form "kinetic + potential energy" is presented. This method extends the Reduced Energy-Mom…
The isotropy lattice of a lifted action
Miguel Rodriguez-Olmos
We obtain an algorithmic construction of the isotropy lattice for a lifted action of a Lie group on and based only on the knowledge of and its action on . So…
The Symplectic Normal Space of a Cotangent-Lifted Action
Matthew Perlmutter, Miguel Rodriguez-Olmos, M. Esmeralda Sousa-Dias
For the cotangent bundle of a smooth Riemannian manifold acted upon by the lift of a smooth and proper action by isometries of a Lie group, we characterize the symplectic normal sp…