30 citations · 147 across the 15 of their papers we have counts for
6 papers · 1 filter
The Hamiltonian Tube Of A Cotangent-Lifted Action
Miguel Rodriguez-Olmos, Miguel Teixidó-Román
The Marle-Guillemin-Sternberg (MGS) form is local model for a neighborhood of an orbit of a Hamiltonian Lie group action on a symplectic manifold. One of the main features of the M…
Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures
Juan Carlos Marrero, Edith Padron, Miguel Rodriguez-Olmos
This article addresses the problem of developing an extension of the Marsden- Weinstein reduction process to symplectic Lie algebroids, and in particular to the case of the symplec…
On Singular Poisson Sternberg Spaces
Matthew Perlmutter, Miguel Rodriguez-Olmos
We obtain a theory of stratified Sternberg spaces thereby extending the theory of cotangent bundle reduction for free actions to the singular case where the action on the base mani…
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…
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…
On the geometry of reduced cotangent bundles at zero momentum
Matthew Perlmutter, Miguel Rodriguez-Olmos, M. Esmeralda Sousa-Dias
We consider the problem of cotangent bundle reduction for non free group actions at zero momentum. We show that in this context the symplectic stratification obtained by Sjamaar an…