31 citations · 100 across the 9 of their papers we have counts for
9 papers
Projective Infinities and b-Calculus
Andreas Cap, A. Rod Gover
For a manifold with boundary and interior , we introduce and study a weakening of the concept of projective compactness for torsion-free linear conne…
Projective Compactifications and Einstein metrics
Andreas Cap, A. Rod Gover
For complete affine manifolds we introduce a definition of compactification based on the projective differential geometry (i.e.\ geodesic path data) of the given connection. The de…
Calculus and invariants on almost complex manifolds, including projective and conformal geometry
A. Rod Gover, Pawel Nurowski
We construct a family of canonical connections and surrounding basic theory for almost complex manifolds that are equipped with an affine connection. This framework provides a unif…
Einstein metrics in projective geometry
A. Cap, A. R. Gover, H. R. Macbeth
It is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a ce…
Normal BGG solutions and polynomials
A. Cap, A. R. Gover, M. Hammerl
First BGG operators are a large class of overdetermined linear differential operators intrinsically associated to a parabolic geometry on a manifold. The corresponding equations in…
Projective BGG equations, algebraic sets, and compactifications of Einstein geometries
A. Cap, A. R. Gover, M. Hammerl
For curved projective manifolds we introduce a notion of a normal tractor frame field, based around any point. This leads to canonical systems of (redundant) coordinates that gener…