Asian Journal of Mathematics
- Asian J. Math.
- Volume 13, Number 4 (2009), 459-464.
Flats in Riemannian Submersions from Lie Groups
We prove that any base space of a 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.
Asian J. Math., Volume 13, Number 4 (2009), 459-464.
First available in Project Euclid: 4 June 2010
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Tapp, Kristopher. Flats in Riemannian Submersions from Lie Groups. Asian J. Math. 13 (2009), no. 4, 459--464. https://projecteuclid.org/euclid.ajm/1275671453