Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation.
Čap, A., Slovák, J., Souček, V. (1997)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying similar documents to “Special invariant operators I”
Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation.
Natural operators in the view of Cartan geometries
Martin Panák (2003)
Archivum Mathematicum
Similarity:
We prove, that -th order gauge natural operators on the bundle of Cartan connections with a target in the gauge natural bundles of the order (“tensor bundles”) factorize through the curvature and its invariant derivatives up to order . 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...
The principal prolongation of first order -structures
Slovák, Jan
Similarity:
The author uses the concept of the first principal prolongation of an arbitrary principal filter bundle to develop an alternative procedure for constructing the prolongations of a class of the first-order -structures. The motivation comes from the almost Hermitian structures, which can be defined either as standard first-order structures, or higher-order structures, but if they do not admit a torsion-free connection, the classical constructions fail in general.