Symplectic, Hofer and sub-Riemannian geometry
Marius Buliga
Abstract
The purpose of this note is to make some connection between the sub-Riemannian geometry on Carnot-Caratheodory groups and symplectic geometry. We shall concentrate here on the Heisenberg group, although it is transparent that almost everything can be done on a general Carnot-Caratheodory group. Such generalisations will be the subject of a forthcoming note.
Create a lesson
Related papers
Existence of a positive hyperbolic orbit in three-dimensional Reeb flows
Taisuke Shibata
Symplectic Yang-Mills Theory
Jonathan Delgado, Li-Sheng Tseng, Jiawei Zhou
Moment Lagrangians, unobstructedness and symplectic groupoids
Yan-Lung Leon Li
The First Correction Term in the Asymptotic Expansion of Bohr--Sommerfeld Lagrangian States
Yusaku Tiba
Extended Future Tube Conjecture for Unipotent Subgroups
Maxim Kukol
Shifted Contact Structures on Exact Symplectic Fibrations
Mehmet Fırat Arıkan, Kadri İlker Berktav, Efe İzbudak