Flats in Riemannian Submersions from Lie Groups
classification
🧮 math.DG
math.MG
keywords
riemannianbasebasicbi-invariantbiquotientscompactexponentiatesflat
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We prove that any base space of Riemannian submersion from a compact Lie group (with bi-invariant metric) must have a basic property previously known for normal biquotients; namely, any zero-curvature plane exponentiates to a flat.
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