Anti-invariant Riemannian Submersions
classification
🧮 math.DG
keywords
anti-invariantriemanniansubmersionsalmostcompactconstructioneinsteinexamples
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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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