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Flats in Riemannian Submersions from Lie Groups

Kristopher Tapp
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Abstract

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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Kristopher Tapp. 2007-03-13. Flats in Riemannian Submersions from Lie Groups. https://arxiv.org/abs/math/0703389

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