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math.DG2024
Gears and pulleys in non-Euclidean space forms
Heleno S. Cunha, Lucas H. R. de Souza, Sergio A. P. Prado
In this article we study, in their non-Euclidean versions, two important mechanical systems that are very common in numerous devices. More precisely, we study the laws governing th…
math.DG2013
A note on trace fields of complex hyperbolic groups
Heleno Cunha, Nikolay Gusevskii
We show that if is an irreducible subgroup of , then contains a loxodromic element . If has eigenvalues , $λ_3 = λ^{-…