Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators
| Authors | |
|---|---|
| Year of publication | 2000 |
| Type | Article in Periodical |
| Magazine / Source | Differential Geometry and its Applications |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | invariant operators; Hermitian symmetric spaces; parabolic geometry; standard operators |
| Description | 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. We give explicit formulae for distinguished invariant curved analogues of the standard operators in terms of the linear connections belonging to the structures in question, so in particular we prove their existence. Moreover, these formulae are universal for all geometries in question. |
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