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arXiv · 1109.4532

Kähler-Weyl manifolds of dimension 4

P. Gilkey·S. Nikcevic
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Abstract

We determine the space of algebraic pseudo-Hermitian Kähler-Weyl curvature tensors and the space of para-Hermitian Kähler-Weyl curvature tensors in dimension 4 and show that every algebraic possibility is geometrically realizable. We establish the Gray identity for pseudo-Hermitian Weyl manifolds and for para-Hermitian Weyl manifolds in arbitrary dimension.

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P. Gilkey, S. Nikcevic. 2011-09-21. Kähler-Weyl manifolds of dimension 4. https://arxiv.org/abs/1109.4532

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