64 citations · 442 across the 50 of their papers we have counts for
51 papers
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…
Bounded Poincaré operators for twisted and BGG complexes
Andreas Čap, Kaibo Hu
We construct bounded Poincaré operators for twisted complexes and BGG complexes with a wide class of function classes (e.g., Sobolev spaces) on bounded Lipschitz domains. These ope…
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…
BGG sequences with weak regularity and applications
Andreas Čap, Kaibo Hu
We investigate some Bernstein-Gelfand-Gelfand (BGG) complexes on bounded Lipschitz domains in consisting of Sobolev spaces. In particular, we compute the cohomology…
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…