9 citations · 9 across the 2 of their papers we have counts for
6 papers
Euler flows and singular geometric structures
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
Tichler proved that a manifold admitting a smooth closed one-form fibers over a circle. More generally a manifold admitting independent closed one-forms fibers over a torus $T^…
On the volume elements of a manifold with transverse zeroes
Robert Cardona, Eva Miranda
Moser proved in 1965 in his seminal paper that two volume forms on a compact manifold can be conjugated by a diffeomorphism, that is to say they are equivalent, if and only if thei…
Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems
A. Bolsinov, V. Matveev, E. Miranda +1
The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by…
Singular fibers of the Gelfand--Cetlin system on
Damien Bouloc, Eva Miranda, Nguyen Tien Zung
In this paper, we show that every singular fiber of the Gelfand--Cetlin system on coadjoint orbits of unitary groups is a smooth isotropic submanifold which is diffeomorphic to a $…
The geometry of E-manifolds
Eva Miranda, Geoffrey Scott
Motivated by the study of symplectic Lie algebroids, we study a describe a type of algebroid (called an -tangent bundle) which is particularly well-suited to study of singular d…
A note on symplectic and Poisson linearization of semisimple Lie algebra actions
Eva Miranda
In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic line…