We prove that a word hyperbolic group whose Gromov boundary properly contains a 2-sphere cannot admit a projective Anosov representation into (Formula presented.), (Formula presented.). We also prove that a word hyperbolic group that admits a projective Anosov representation into (Formula presented.) is virtually a free group or virtually a surface group, a result established independently by Dey–Greenberg–Riestenberg.
Pozzetti M.B., Tsouvalas K. (2024). On projective Anosov subgroups of symplectic groups. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 56(2), 581-588 [10.1112/blms.12951].
On projective Anosov subgroups of symplectic groups
Pozzetti M. B.;
2024
Abstract
We prove that a word hyperbolic group whose Gromov boundary properly contains a 2-sphere cannot admit a projective Anosov representation into (Formula presented.), (Formula presented.). We also prove that a word hyperbolic group that admits a projective Anosov representation into (Formula presented.) is virtually a free group or virtually a surface group, a result established independently by Dey–Greenberg–Riestenberg.File in questo prodotto:
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