Work

Minimal displacement set for weakly systolic complexes

Year: 2025

Type: article

Abstract: In this paper, we investigate the structure of the minimal displacement set in weakly systolic complexes. We show that such set is systolic and that it embeds isometrically into the complex. As corollaries, we prove that any isometry of a weakly systolic complex either fixes the barycenter of some simplex (elliptic case) or it stabilizes a thick geodesic (hyperbolic case).

Source: International Journal of Algebra and Computation

DOI: 10.1142/s0218196725500110

Author: Ioana-Claudia Lazăr

Institution: Politehnica University of Timisoara

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4408226809

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Cites: 14

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Related to: 10