40 citations · 307 across the 36 of their papers we have counts for
11 papers · 1 filter
Subriemannian metrics and the metrizability of parabolic geometries
David M. J. Calderbank, Jan Slovak, Vladimir Soucek
We present the linearized metrizability problem in the context of parabolic geometries and subriemannian geometry, generalizing the metrizability problem in projective geometry stu…
BGG complexes in singular infinitesimal character for type A
Pavle Pandzic, Vladimir Soucek
We give a geometric construction of the BGG resolutions in singular infinitesimal character in the case of 1-graded complex Lie algebras of type A.
Relative BGG sequences; II. BGG machinery and invariant operators
Andreas Cap, Vladimir Soucek
For a real or complex semisimple Lie group and two nested parabolic subgroups , we study parabolic geometries of type . Associated to the group ,…
On a new normalization for tractor covariant derivatives
Matthias Hammerl, Petr Somberg, Vladimir Soucek +1
A regular normal parabolic geometry of type on a manifold gives rise to sequences of invariant differential operators, known as the curved version of the BGG resolu…
Conformally Invariant Operators via Curved Casimirs: Examples
Andreas Cap, A. Rod Gover, Vladimir Soucek
We discuss a general scheme for a construction of linear conformally invariant differential operators from curved Casimir operators; we then explicitly carry this out for several e…
Curved Casimir Operators and the BGG Machinery
Andreas Cap, Vladimir Soucek
We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arb…