Geodesic
INVARIANT OPERATORS ON MANIFOLDS WITH ALMOST HERMITIAN SYMMETRIC STRUCTURES, II. NORMAL CARTAN CONNECTIONS
Acta mathematica Universitatis Comenianae, Tome 66 (1997) no. 2 
A. Cap; J. Slovak; V. Soucek. INVARIANT OPERATORS ON MANIFOLDS WITH ALMOST HERMITIAN SYMMETRIC STRUCTURES, II. NORMAL CARTAN CONNECTIONS. Acta mathematica Universitatis Comenianae, Tome 66 (1997) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1997_66_2_a1/
@article{AMUC_1997_66_2_a1,
     author = {A. Cap and J. Slovak and V. Soucek},
     title = {INVARIANT {OPERATORS} {ON} {MANIFOLDS} {WITH} {ALMOST} {HERMITIAN} {SYMMETRIC} {STRUCTURES,} {II.} {NORMAL} {CARTAN} {CONNECTIONS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1997},
     volume = {66},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1997_66_2_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.