Asian Journal of Mathematics

Volume 13 (2009)

Number 4

Flats in Riemannian Submersions from Lie Groups

Pages: 459 – 464

DOI: https://dx.doi.org/10.4310/AJM.2009.v13.n4.a2

Author

Kristopher Tapp

Abstract

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.

Keywords

Lie group, Riemannian submersion

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Published 1 January 2009