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math.MG2024
Vertical curves and vertical fibers in the Heisenberg group
Gioacchino Antonelli, Robert Young
Let denote the three-dimensional Heisenberg group. In this paper, we study vertical curves in and fibers of maps from a metr…
math.GR2024
Ergodic maps and the cohomology of nilpotent Lie groups
Gioacchino Antonelli, Robert Young
In this paper, we study how the cohomology of nilpotent groups is affected by Lipschitz maps. We show that, given a smooth Lipschitz map between two simply-connected nilpotent…