4 papers
Canonical differential calculi via functorial geometrization
Keegan J. Flood, Gabriele Lobbia, Giacomo Tendas
Given a category , we establish sufficient conditions on a faithful isofibration valued in the category of mono…
Higher Order Connections in Noncommutative Geometry
Keegan J. Flood, Mauro Mantegazza, Henrik Winther
We prove that, in the setting of noncommutative differential geometry, a system of higher order connections is equivalent to a suitable generalization of the notion of phase space…
Flat extensions of principal connections and the Chern-Simons -form
Andreas Čap, Keegan J. Flood, Thomas Mettler
We introduce the notion of a flat extension of a connection on a principal bundle. Roughly speaking, admits a flat extension if it arises as the pull-back of a component of…
Metrics in projective differential geometry: the geometry of solutions to the metrizability equation
Keegan J. Flood, A. Rod Gover
Pseudo-Riemannian metrics with Levi-Civita connection in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the maximal ran…