87 citations · 877 across the 97 of their papers we have counts for
4 papers · 1 filter
Metric convexity in the symplectic category
Petre Birtea, Juan-Pablo Ortega, Tudor S. Ratiu
We introduce an extension of the standard Local-to-Global Principle used in the proof of the convexity theorems for the momentum map to handle closed maps that take values in a len…
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
Daniel Beltita, Tudor S. Ratiu, Alice Barbara Tumpach
We investigate some basic questions concerning the relationship between the restricted Grassmannian and the theory of Banach Lie-Poisson spaces. By using universal central extensio…
Group actions on chains of Banach manifolds and applications to fluid dynamics
François Gay-Balmaz, Tudor S. Ratiu
This paper presents the theory of non-smooth Lie group actions on chains of Banach manifolds. The rigorous functional analytic spaces are given to deal with quotients of such actio…
On the symmetry breaking phenomenon
Petre Birtea, Mircea Puta, Tudor S. Ratiu +1
We investigate the problem of symmetry breaking in the framework of dynamical systems with symmetry on a smooth manifold. Two cases will be analyzed: general and Hamiltonian dynami…