Boramey Chhay

collaborators

2 papers

math.DG2015

Contactomorphisms with $L^{2}$ metric on stream functions

Boramey Chhay

Here we investigate some geometric properties of the contactomorphism group $D_{θ} (M)$ of a compact contact manifold with the $L^{2}$ metric on the stream functions. Viewing…

math.DG2015

Geometry of the contactomorphism group

Boramey Chhay, Stephen C. Preston

In this paper we examine the Riemannian geometry of the group of contactomorphisms of a compact contact manifold. We compute the sectional curvature of $D_{θ} (M)$ in the se…

Contactomorphisms with L2 metric on stream functions

Geometry of the contactomorphism group

Contactomorphisms with $L^{2}$ metric on stream functions