Curtain Model for CAT(0) Spaces and Isometries
Name
10711_2025_Article_1031.pdf
Size
306.99 KB
Format
Adobe PDF
Checksum (MD5)
dc8e70afb11bb1b9076b9ab491638ad3
Author(s)
Chen, Yutong
Date Issued
July 30, 2025
Journal
Geometriae Dedicata
Publisher
Springer Netherlands
Citation
Chen, Y. Curtain Model for CAT(0) Spaces and Isometries. Geom Dedicata 219, 69 (2025).
Version
Final published version
Abstract
This paper studies the dynamics of isometries in the curtain model, which is used to capture the hyperbolicity in a fixed CAT(0) space. We establish several fundamental properties and fully classify the behavior of semisimple isometries of a CAT(0) space in the associated curtain model. In the nonsemisimple case, we restrict the behavior of parabolic actions with positive translation length in the curtain model in most cases of interest, allowing the use of ping-pong-like techniques on the curtain model to provide insights into the study of CAT(0) groups.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s10711-025-01031-4
