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Surfaces with nonpositive magnetic curvature

  • Boris Hasselblatt
  • JinCheng Wang
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Abstract

For a negatively curved surface, magnetic (or twisted geodesic) flows with nonpositive ''magnetic curvature'' have a large-scale geometry on the universal cover that retains some features associated with geodesic flows: magnetic boundary and visibility, possibly magnetically flat strips. This has dynamical consequences: orbit-equivalence to the geodesic flow, density of periodic points, transitivity, entropy-expansivity, existence of equilibrium states.

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Cite

BibTeXRIS
BibTeX
@misc{hasselblatt2026surfaces,
  title = {{Surfaces with nonpositive magnetic curvature}},
  author = {Boris Hasselblatt and JinCheng Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.13534},
  eprint = {2608.13534},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.13534},
}
RIS
TY  - UNPB
TI  - Surfaces with nonpositive magnetic curvature
AU  - Boris Hasselblatt
AU  - JinCheng Wang
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2608.13534
UR  - https://arxiv.org/abs/2608.13534
AB  - For a negatively curved surface, magnetic (or twisted geodesic) flows with nonpositive ''magnetic curvature'' have a large-scale geometry on the universal cover that retains some features associated with geodesic flows: magnetic boundary and visibility, possibly magnetically flat strips. This has dynamical consequences: orbit-equivalence to the geodesic flow, density of periodic points, transitivity, entropy-expansivity, existence of equilibrium states.
ER  -