We show that 3-Sasaki structures admit a natural description in terms of projective
differential geometry. First we establish that a 3-Sasaki structure may be understood as a …

In this dissertation we study basic local differential geometry, projective differential geometry,
and prolongations of overdetermined geometric partial differential equations. It is simple to …

On an almost complex manifold, a quasi-Kähler metric, with canonical connection in the c-
projective class of a given minimal complex connection, is equivalent to a nondegenerate …

We show that $3 $-Sasaki structures admit a natural description in terms of projective
differential geometry. This description provides a concrete link between $3 $-Sasaki …

Analogues of the classical affine-projective correspondence are developed in the context of
statistical manifolds compatible with a radiant vector field. These utilize a formulation of …

We construct a dynamical quantization for contact manifolds in terms of a flat connection
acting on a Hilbert tractor bundle. We show that this contact quantization, which is …

We study invariant systems of PDEs defining Killing vector-valued forms, and then we
specialize to Killing spinor-valued forms. We give a detailed treatment of their prolongation …

Asymptotically hyperbolic (AH) manifolds continue to be an active area of modern research.
Much of the work is driven by the AdS/CFT correspondence. This really began with the …