Font Size:
Curvature of Contact Metric Manifolds
Last modified: 2014-02-13
Abstract
We will first review the basic ideas of contact manifolds and associated metrics. Then we will discuss a number of curvature results. Some of the questions will center on the sign of the curvature. We will then discuss certain curvature functionals over a compact contact manifold. As time permits other topics may include the action of the curvature operator on the Reeb vector field, local symmetry and conformal flatness; in the latter two cases extensions from the Sasakian case to general contact metric manifolds.