Diameters of 3-sphere quotients

DOI10.1016/j.difgeo.2008.10.011zbMath1171.53025arXivmath/0702680OpenAlexW1971599114WikidataQ115357390 ScholiaQ115357390MaRDI QIDQ1012347

William D. Dunbar, Jill McGowan, Sarah J. Greenwald, Catherine Searle

Publication date: 16 April 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702680

zbMATH Keywords

orthogonal groupsspherical space formsdiameter of quotient spacespherical quotient

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global Riemannian geometry, including pinching (53C20) Group actions on manifolds and cell complexes in low dimensions (57M60) Length, area and volume in real or complex geometry (51M25) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (7)

On the width of transitive sets: bounds on matrix coefficients of finite groups ⋮ The curvature of orbit spaces ⋮ Fibered spherical 3-orbifolds ⋮ A diameter gap for quotients of the unit sphere ⋮ A universal gap for non-spin quantum control systems ⋮ Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4 ⋮ Focal radii of orbits

Uses Software

• Maple

Cites Work

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• Polar Coordinates Induced by Actions of Compact Lie Groups
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• New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry
• Compact connected Lie transformation groups on spheres with low cohomogeneity. I

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