四维(para)-Kähler-Weyl结构

Publications De L'institut Mathematique Pub Date : 2012-10-25 DOI:10.2298/PIM1308091G

P. Gilkey, S. Nikcevic

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引用次数: 2

摘要

我们给出了一个初等证明，证明任何四维对厄米流形都存在唯一的对kahler - weyl结构。然后我们利用解析延拓从拟复集传递到复集，从而证明任何四维伪厄米流形也承认唯一的Kahler-Weyl结构。[南斯拉夫]塞族共和国部长项目;174012]

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4-dimensional (para)-Kähler-Weyl structures

We give an elementary proof of the fact that any 4-dimensional para-Hermitian manifold admits a unique para-Kahler-Weyl structure. We then use analytic continuation to pass from the para-complex to the complex setting and thereby show that any 4-dimensional pseudo-Hermitian manifold also admits a unique Kahler-Weyl structure. [Projekat Ministarstva nauke Republike Srbije, br. 174012]

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Publications De L'institut Mathematique

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