28 citations · 57 across the 6 of their papers we have counts for
6 papers
Holonomy reductions of Cartan geometries and curved orbit decompositions
Andreas Cap, A. Rod Gover, Matthias Hammerl
We develop a holonomy reduction procedure for general Cartan geometries. We show that, given a reduction of holonomy, the underlying manifold naturally decomposes into a disjoint u…
Weyl structures for parabolic geometries
Andreas Cap, Jan Slovak
Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces with semisimple and parabol…
Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators
Andreas Cap, Jan Slovak, Vladimir Soucek
This paper demonstrates the power of the calculus developed in the two previous parts of the series for all real forms of the almost Hermitian symmetric structures on smooth manifo…
Invariant operators on manifolds with almost Hermitian symmetric structures, II. Normal Cartan connections
Andreas Cap, Jan Slovak, Vladimir Soucek
In the first part of this series of papers we developed the invariant differentiation with respect to a Cartan connection, we described this procedure in the terms of the underlyin…
Invariant operators on manifolds with almost Hermitian symmetric structures, I. Invariant differentiation
Andreas Cap, Jan Slovak, Vladimir Soucek
This is the first part of a series of papers. The whole series aims to develop the tools for the study of all almost Hermitian symmetric structures in a unified way. In particular,…
The Frölicher-Nijenhuis bracket in non-commutative differential geometry
Andreas Cap, Andreas Kriegl, Peter W. Michor +1
We carry over to a quite general noncommutative setting some of the basic tools of differential geometry, using from the very beginning the setting of convenient vector spaces deve…