INVARIANT OPERATORS ON MANIFOLDS WITH ALMOST HERMITIAN SYMMETRIC STRUCTURES, II. NORMAL CARTAN CONNECTIONS
A. CAP, J. SLOVAK and V. SOUCEK
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 Ref. Tanaka 79 or Ref. 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.