64 citations · 442 across the 50 of their papers we have counts for
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Infinitesimal Automorphisms and Deformations of Parabolic Geometries
Andreas Cap
We show that infinitesimal automorphisms and infinitesimal deformations of parabolic geometries can be nicely described in terms of the twisted de-Rham sequence associated to a cer…
Subcomplexes in Curved BGG-Sequences
Andreas Cap, Vladimir Soucek
BGG-sequences offer a uniform construction for invariant differential operators for a large class of geometric structures called parabolic geometries. For locally flat geometries,…
On the Geometry of Chains
Andreas Cap, Vojtech Zadnik
The chains studied in this paper generalize Chern-Moser chains for CR structures. They form a distinguished family of one dimensional submanifolds in manifolds endowed with a parab…
Two constructions with parabolic geometries
Andreas Cap
This is an expanded version of a series of lectures delivered at the 25th Winter School ``Geometry and Physics'' in Srni. After a short introduction to Cartan geometries and parabo…