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math.DG2007★ 20 cited
On Nurowski's conformal structure associated to a generic rank two distribution in dimension five
Andreas Cap, Katja Sagerschnig
For a generic distribution of rank two on a manifold of dimension five, we introduce the notion of a generalized contact form. To such a form we associate a generalized Reeb fi…
math.DG2007★ 18 cited
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…