Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation.

Čap, A.; Slovák, J.; Souček, V.

Displaying similar documents to “Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation.”

Special invariant operators I

Jarolím Bureš (1996)

Commentationes Mathematicae Universitatis Carolinae

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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...

Natural operators in the view of Cartan geometries

Martin Panák (2003)

Archivum Mathematicum

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We prove, that $r$ -th order gauge natural operators on the bundle of Cartan connections with a target in the gauge natural bundles of the order $(1, 0)$ (“tensor bundles”) factorize through the curvature and its invariant derivatives up to order $r - 1$ . On the course to this result we also prove that the invariant derivations (a generalization of the covariant derivation for Cartan geometries) of the curvature function of a Cartan connection have the tensor character. A modification of the theorem...

Aspects of parabolic invariant theory

Gover, Rod A.

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A certain family of homogeneous spaces is investigated. Basic invariant operators for each of these structures are presented and some analogies to Levi-Civita connections of Riemannian geometry are pointed out.