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math.GT2026
Bordered hyperbolic manifolds with a fixed perimeter-to-volume ratio
Sami Douba, Franco Vargas Pallete
We exhibit, for any , infinitely many pairwise incommensurable complete finite-volume hyperbolic -manifolds, both compact and noncompact, each with nonempty totally ge…
math.GT2026
On reflections of congruence hyperbolic manifolds
Sami Douba, Franco Vargas Pallete
We show that the standard method for constructing closed hyperbolic manifolds of arbitrary dimension possessing reflective symmetries typically produces reflections whose fixed poi…