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arXiv research

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2 results for “parabolic-preserving”

Parabolic-preserving deformations of cusped hyperbolic latticesmath.GT

Study of parabolic-preserving deformations of hyperbolic lattices.

problem Preserving parabolic subgroups during lattice deformations.

method Analysis of deformations into SU(n,1) and SO(n+1,1).

result Existence of 1-parameter families of parabolic-preserving deformations.

hyperbolic lattices parabolic-preserving deformations SU(n 1)

2026-05-04abs ↗pdf ↗

Rank 1 deformations of non-cocompact hyperbolic latticesmath.GT

Let $X$ be a negatively curved symmetric space and $Γ$ a non-cocompact lattice in $\rm{Isom}(X)$ . We show that small, parabolic-preserving deformations of $Γ$ into the isometry group of any negatively curved symmetric space containing $X$ remain discrete and faithful (the cocompact case is due to Guichard). This applie…

2017-02-02abs ↗pdf ↗