87 citations · 877 across the 97 of their papers we have counts for
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math.DG2019
Realizing the Teichmüller space as a symplectic quotient
Tobias Diez, Tudor S. Ratiu
Given a closed surface endowed with a volume form, we equip the space of compatible Riemannian structures with the structure of an infinite-dimensional symplectic manifold. We show…
math.DS2019
Integrable systems in planar robotics
Tudor S. Ratiu, Nguyen Tien Zung
The main purpose of this paper is to investigate commuting flows and integrable systems on the configuration spaces of planar linkages. Our study leads to the definition of a natur…
math.DS2019
Local normal forms of dynamical systems with a singular underlying geometric structure
Kai Jiang, Tudor S. Ratiu, Nguyen Tien Zung
In this paper we prove the existence of a simultaneous local normalization for couples , where is a vector field which vanishes at a point and is…