Abelian subgroups of the fundamental group of a space with no conjugate points

DOI10.4171/GGD/618MaRDI QIDQ2245024

James Dibble

Publication date: 12 November 2021

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10095

zbMATH Keywords

Busemann functionabelian subgroupsolvable subgroupasymptotic normNo conjugate points

Mathematics Subject Classification ID

Geometric group theory (20F65) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Cites Work

• The fundamental group of compact manifolds without conjugate points
• Riemannian manifolds without focal points
• Riemannian tori without conjugate points are flat
• Manifolds without conjugate points and their fundamental groups
• On the fundamental group of compact manifolds of non-positive curvature
• Compact manifolds of nonpositive curvature
• Examples of Poincare Duality Groups
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature

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