64 citations · 442 across the 50 of their papers we have counts for
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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…
Induced almost para-Kähler Einstein metrics on cotangent bundles
Andreas Cap, Thomas Mettler
In earlier work we have shown that for certain geometric structures on a smooth manifold of dimension , one obtains an almost para-Kähler--Einstein metric on a manifold …
Bundles of Weyl structures and invariant calculus for parabolic geometries
Andreas Cap, Jan Slovak
For more than hundred years, various concepts were developed to understand the fields of geometric objects and invariant differential operators between them for conformal Riemannia…
A relative mass cocycle and the mass of asymptotically hyperbolic manifolds
Andreas Cap, A. Rod Gover
We construct a cocycle that, for a given -manifold, maps pairs of asymptotically locally hyperbolic (ALH) metrics to a tractor-valued -form field on the conformal infinit…
Geometric Theory of Weyl Structures
Andreas Cap, Thomas Mettler
Given a parabolic geometry on a smooth manifold , we study a natural affine bundle , whose smooth sections can be identified with Weyl structures for the geometry. We s…
A Poisson transform adapted to the Rumin complex
Andreas Cap, Christoph Harrach, Pierre Julg
Let be a semisimple Lie group with finite center, a maximal compact subgroup, and a parabolic subgroup. Following ideas of P.Y.\ Gaillard, one may use…