Flats in Riemannian Submersions from Lie Groups

2007/03/13 by Kristopher Tapp, Tapp, Kristopher · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #53C20 #Dermatological and Skeletal Disorders #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.math/0703389

openalex publication_date 2007/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Almost positively curved generalized Eschenburg spaces

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