Semi-hyperbolicity implies hyperbolicity in the linear case. Mazur, M., Stolot, K., & Tabor, J. ZESZYTY NAUKOWE-UNIWERSYTETU JAGIELLONSKIEGO-ALL SERIES-, 1223:121–126, NAKLADEM UNIWERSYTETU JAGIELLONSKIEGO, 1998.
bibtex   
@article{mazur1998semi,
  title={Semi-hyperbolicity implies hyperbolicity in the linear case},
  author={Mazur, Marcin and Stolot, Kinga and Tabor, Jacek},
  journal={ZESZYTY NAUKOWE-UNIWERSYTETU JAGIELLONSKIEGO-ALL SERIES-},
  volume={1223},
  pages={121--126},
  year={1998},
  publisher={NAKLADEM UNIWERSYTETU JAGIELLONSKIEGO}
}

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