• Corpus ID: 210000651

Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators

@article{ap1998InvariantOO,
  title={Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators},
  author={Andreas {\vC}ap and Jan Slov{\'a}k and Vladim{\'i}r Sou{\vc}ek},
  journal={arXiv: Differential Geometry},
  year={1998}
}
This paper demonstrates the power of the calculus developed in the two previous parts of the series for all real forms of the almost Hermitian symmetric structures on smooth manifolds, including e.g. conformal Riemannian and almost quaternionic geometries. Exploiting some finite dimensional representation theory of simple Lie algebras, we give explicit formulae for distinguished invariant curved analogues of the standard operators in terms of the linear connections belonging to the structures… 
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