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arXiv · 2001.10727

Geometry of symplectic partially hyperbolic automorphisms on 4-torus

L. M. Lerman·K. N. Trifonov
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Abstract

We study topological properties of automorphisms of 4-dimensional torus generated by integer symplectic matrices. The main classifying element is the structure of the topology of a foliation generated by unstable leaves of the automorphism. There two different case, transitive and decomposable ones. For both case the classification is given.

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L. M. Lerman, K. N. Trifonov. 2020-01-29. Geometry of symplectic partially hyperbolic automorphisms on 4-torus. https://arxiv.org/abs/2001.10727

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