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On the Topological Transitivity of Interval Extensions of Anosov Diffeomorphisms
Abstract
We establish topological transitivity for a class of analytic partially hyperbolic diffeomorphisms on thickened nilmanifolds. These systems take the form of skew products, constructed as interval extensions of Anosov diffeomorphisms on nilmanifolds. Specifically, we develop a mechanism for topological transitivity allowing arbitrary finite-order parabolic degeneracies in the central direction.
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BibTeX
@misc{li2026topological,
title = {{On the Topological Transitivity of Interval Extensions of Anosov Diffeomorphisms}},
author = {Wenchao Li and Mingyang Xia},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24437},
eprint = {2609.24437},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24437},
}
RIS
TY - UNPB
TI - On the Topological Transitivity of Interval Extensions of Anosov Diffeomorphisms
AU - Wenchao Li
AU - Mingyang Xia
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24437
UR - https://arxiv.org/abs/2609.24437
AB - We establish topological transitivity for a class of analytic partially hyperbolic diffeomorphisms on thickened nilmanifolds. These systems take the form of skew products, constructed as interval extensions of Anosov diffeomorphisms on nilmanifolds. Specifically, we develop a mechanism for topological transitivity allowing arbitrary finite-order parabolic degeneracies in the central direction.
ER -