ON THE GEOMETRY OF ALMOST HERMITIAN SYMMETRIC STRUCTURES

Jan Slov\'ak

Key words: $|1|$-graded Lie algebras, geometric structures,
        AHS structures, natural operators, invariant operators,
        Cartan connections.

1991 Math. Subject Classification: 53C10, 53C05.

Abstract: The almost Hermitian symmetric structures include several
important geometries, e.g\. the conformal, projective, quaternionic or
almost Grassmannian ones. The conformal case is known best and several
efficient techniques have been worked out in the last 90 years. The present
note provides links of the development presented in \cite{CSS1, CSS2, CSS3,
CSS4} to several other approaches and it suggests extensions of some
techniques to all geometries in question.