2 citations · 3 across the 8 of their papers we have counts for
8 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…
Symbols in Noncommutative Geometry
Keegan J. Flood, Mauro Mantegazza, Henrik Winther
In this paper we prove that the classical Lie bracket of vector fields can be generalized to the noncommutative setting by antisymmetrizing (in a suitable noncommutative sense) the…
Canonical curves and Kropina metrics in Lagrangian contact geometry
T. Ma, K. J. Flood, V. S. Matveev +1
We present a Fefferman-type construction from Lagrangian contact to conformal structures and examine several related topics. In particular, we concentrate on describing the canonic…
Jet Functors in Noncommutative Geometry
Keegan J. Flood, Mauro Mantegazza, Henrik Winther
In this article we construct three infinite families of endofunctors , , and on the category of left -modules, where is a unital associative al…
Geometry of solutions to the c-projective metrizability equation
Keegan J. Flood, A. Rod Gover
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 non-degenerate s…
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…