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Rigidity from the strong unstable foliation for higher-dimensional Anosov and partially hyperbolic flows
Abstract
Recently Burniol Clotet proved that two transitive Anosov flows on 3-manifolds with equivalent strong unstable foliations must be conjugate up to time rescaling. We further explore the mechanism of Burniol Clotet's argument and treat the case of higher-dimensional Anosov flows and their isometric extensions by compact Lie groups.
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BibTeX
@misc{gogolev2026rigidity,
title = {{Rigidity from the strong unstable foliation for higher-dimensional Anosov and partially hyperbolic flows}},
author = {Andrey Gogolev},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.38787},
eprint = {2609.38787},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38787},
}
RIS
TY - UNPB
TI - Rigidity from the strong unstable foliation for higher-dimensional Anosov and partially hyperbolic flows
AU - Andrey Gogolev
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.38787
UR - https://arxiv.org/abs/2609.38787
AB - Recently Burniol Clotet proved that two transitive Anosov flows on 3-manifolds with equivalent strong unstable foliations must be conjugate up to time rescaling. We further explore the mechanism of Burniol Clotet's argument and treat the case of higher-dimensional Anosov flows and their isometric extensions by compact Lie groups.
ER -