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arXiv 2012-10-25 0 views

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

Gilkey, Peter · Nikcevic, Stana

Original · EN

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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