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arXiv · 1509.04842

Anti-invariant Riemannian Submersions

P. Gilkey·M. Itoh·J. H. Park
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Abstract

We give a general Lie-theoretic construction for anti-invariant almost Hermitian Riemannian submersions, anti-invariant quaternion Riemannian submersions, anti-invariant para-Hermitian Riemannian submersions, anti-invariant para-quaternion Riemannian submersions, and anti-invariant octonian Riemannian submersions. This yields many compact Einstein examples.

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P. Gilkey, M. Itoh, J. H. Park. 2015-09-16. Anti-invariant Riemannian Submersions. https://arxiv.org/abs/1509.04842

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