Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections.

Čap, A.; Slovák, J.; Souček, V.

Displaying similar documents to “Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections.”

On local flatness of manifolds with AHS-structures

Čap, Andreas, Slovák, Jan

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Summary: The AHS-structures on manifolds are the simplest cases of the so called parabolic geometries which are modeled on homogeneous spaces corresponding to a parabolic subgroup in a semisimple Lie group. It covers the cases where the negative parts of the graded Lie algebras in question are abelian. In the series the authors developed a consistent frame bundle approach to the subject. Here we give explicit descriptions of the obstructions against the flatness of such structures based...

The principal prolongation of first order $G$ -structures

Slovák, Jan

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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 $G$ -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.