Conformally invariant tensors of an almost Hermitian manifold associated with the holomorphic curvature tensor. (English) Zbl 1259.53029
To each almost Hermitian manifold are assigned three conformally invariant tensors of Kähler-type related to the holomorphic curvature tensor. It is shown that the generalized Bochner curvature tensor of an almost Hermitian manifold is a linear combination of these three tensors.
Reviewer: Carl Tipler (Montreal)
MSC:
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 32Q60 | Almost complex manifolds |
Keywords:
almost Hermitian manifold; holomorphic curvature tensor; Bochner tensor; conformal change of metricReferences:
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