Abstract
We consider an almost Hermitian manifold and apply the conformal change of metric to its holomorphic curvature tensor. In such a way we find that the generalized Bochner curvature tensor can be expressed as a linear combination of B 1, B 2, and B 3 such that (6.4) holds. Each of the tensors B 1, B 2, B 3 is conformally invariant and satisfies the condition (1.2) of Kähler type.
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Prvanović, M. Conformally invariant tensors of an almost Hermitian manifold associated with the holomorphic curvature tensor. J. Geom. 103, 89–101 (2012). https://doi.org/10.1007/s00022-012-0111-9
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DOI: https://doi.org/10.1007/s00022-012-0111-9