Andreas Cap, Jan Slovak, Vladimr Soucek
Invariant Operators on Manifolds with Almost Hermitian Symmetric Structures, II. Normal Cartan Connections
The paper is published: Acta Math. Univ. Commenianae 66, 2 (1997), 203-220

MSC:

53A40 Other special differential geometries

53B15 Other connections

53C05 Connections, general theory

53C15 General geometric structures on manifolds (almost complex, contact, symplectic, almost product structures, etc.)

Abstract: We construct explicitly the canonical principal $B$-bundles $P$ and their
canonical Cartan connections for all AHS-structures. Our methods are
different from the development in \cite{Tanaka, 79} or \cite{Baston, 91},
in particular they are simpler, more explicit and transparent.
We also compute explicite formulae for the canonical Cartan connections
in terms of the underlying distinguished linear connections.


Keywords: normal Cartan connection, AHS structure, G-structure
Notes: second version