Einstein Manifolds and Contact Geometry
We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
math.DG↗
arXiv subjects
Charles P. Boyer
Publications and source records attributed to Charles P. Boyer.
A Note on Toric Contact Geometry
After observing that the well-known convexity theorems of symplectic geometry also hold for compact contact manifolds with an effective action of a torus whose Reeb vector field corresponds to an element of the Lie algebra of the torus, we use this fact together with a recent symplectic orbifold version of Delzant's theorem due to Lerman and Tolman [LT] to show that every such compact toric contact manifold can be obtained by a contact reduction from an odd dimensional sphere.
math.DG↗
3-Sasakian Manifolds
This is an expository paper describing the geometry of certain Sasakian-Einstein manifolds. Such manifolds have recently become of interest due to Maldacena's AdS/CFT conjecture. They describe near-horizon geometries of branes at conical singularities.
hep-th↗
The Atiyah-Jones Conjecture
The purpose of this note is to announce our proof of the Atiyah-Jones conjecture concerning the topology of the moduli spaces of based SU(2)-instantons over S^4. Full details and proofs appear in our paper [BHMM1].
math.DG↗