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arXiv · 1210.6769

4-dimensional (para)-Kähler--Weyl structures

Peter Gilkey·Stana Nikcevic
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Abstract

We give an elementary proof of the fact that any 4-dimensional para-Hermitian manifold admits a unique para-Kaehler--Weyl structure. We then use analytic continuation to pass from the para-complex to the complex setting and thereby show any 4-dimensional pseudo-Hermitian manifold also admits a unique Kaehler--Weyl structure.

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Peter Gilkey, Stana Nikcevic. 2012-10-25. 4-dimensional (para)-Kähler--Weyl structures. https://arxiv.org/abs/1210.6769

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