PreprintCC BY 4.0arXiv
Local centralizer rigidity for a non-generic diagonal map
Abstract
In this paper, we prove centralizer rigidity for any non-trivial diagonal map in the compact homogeneous space SL_n\mathbb{R}/Γ, n\ge 5, under the assumption that the perturbed volume-preserving diffeomorphism has a regular isomorphic centralizer.
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BibTeX
@misc{wang2026local,
title = {{Local centralizer rigidity for a non-generic diagonal map}},
author = {Zhijing Wendy Wang and Amie Wilkinson},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04643},
eprint = {2609.04643},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04643},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Local centralizer rigidity for a non-generic diagonal map
AU - Zhijing Wendy Wang
AU - Amie Wilkinson
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.04643
UR - https://arxiv.org/abs/2609.04643
AB - In this paper, we prove centralizer rigidity for any non-trivial diagonal map in the compact homogeneous space SL_n\mathbb{R}/Γ, n\ge 5, under the assumption that the perturbed volume-preserving diffeomorphism has a regular isomorphic centralizer.
ER -