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arXiv · 1011.4844

Kaehler and para-Kaehler curvature Weyl manifolds

Peter Gilkey·Stana Nikcevic
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Abstract

We show that the Weyl structure of an almost-Hermitian Weyl manifold of dimension at least 6 is trivial if the associated curvature operator satisfies the Kaehler identity. Similarly if the curvature of an almost para-Hermitian Weyl manifold of dimension at least 6 satisfies the para-Kaehler identity, then the Weyl structure is trivial as well.

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Peter Gilkey, Stana Nikcevic. 2010-11-22. Kaehler and para-Kaehler curvature Weyl manifolds. https://arxiv.org/abs/1011.4844

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