4 citations · 5 across the 3 of their papers we have counts for
4 papers · 1 filter
A convexity theorem for torus actions on contact manifolds
Eugene Lerman
We show that the cone associated with a moment map for an action of a torus on a contact compact connected manifold is a convex polyhedral cone and that the moment map has connecte…
Toric integrable geodesic flows
Eugene Lerman, Nadya Shirokova
By studying completely integrable torus actions on contact manifolds we prove a conjecture of Toth and Zelditch that toric integrable geodesic flows on tori must have flat metrics.
The Topological Structure of Contact and Symplectic Quotients
Eugene Lerman, Christopher Willett
We show that if a Lie group acts properly on a co-oriented contact manifold preserving the contact structure, then the contact quotient is topologically a stratified space (in the…
Contact cuts
Eugene Lerman
We describe a contact analog of the symplectic cut construction. As an application we show that the group of contactomorphisms for a particular overtwisted contact structure on the…