Jarolim Bures
Special Invariant Operators I.
The paper is published: Commentat. Math. Univ. Carol. 37, 1 (1996) 179-198

MSC:

58G35 Invariance and symmetry properties, See also {35A30}

53C10 $G$-structures

Abstract: The aim of the first part of a series of papers is to give a
description of invariant differential operators on manifolds with
an almost
Hermitian symmetric structure of the type G/B which are defined on bundles
associated to the reducible but undecomposable representation of the
parabolic subgroup B of the Lie group G. One example of an
operator of this type is the Penrose's local twistor transport.
In this part general theory is presented, and conformally invariant
operators are studied in more details.

Keywords: invariant differential operators, almost Hermitian symmetric structure