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- W4300537181 abstract "We work in both the complex and in the para-complex categories and examine (para)-Kahler Weyl structures in both the geometric and in the algebraic settings. The higher dimensional setting is quite restrictive. We show that any (para)-Kaehler Weyl algebraic curvature tensor is in fact Riemannian in dimension at least 6; this yields as a geometric consequence that any (para)-Kaehler Weyl geometric structure is trivial if the dimension is at least 6. By contrast, the 4 dimensional setting is, as always, rather special as it turns out that there are (para)-Kaehler Weyl algebraic curvature tensors which are not Riemannian in dimension 4. Since every (para)-Kaehler Weyl algebraic curvature tensor is geometrically realizable and since every 4 dimensional Hermitian manifold admits a unique (para)-Kaehler Weyl structure, there are also non-trivial 4 dimensional Hermitian (para)-Kaehler Weyl manifolds." @default.
- W4300537181 created "2022-10-03" @default.
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- W4300537181 date "2012-04-03" @default.
- W4300537181 modified "2023-10-17" @default.
- W4300537181 title "(para)-Kahler Weyl structures" @default.
- W4300537181 doi "https://doi.org/10.48550/arxiv.1204.0724" @default.
- W4300537181 hasPublicationYear "2012" @default.
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