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math.DG2025
Uniform doubling for abelian products with
Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste
We prove that the uniform doubling property holds for every Lie group which can be written as a quotient group of for some . In partic…
math.DG2017★ 6 cited
Left-invariant geometries on are uniformly doubling
Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste
A classical aspect of Riemannian geometry is the study of estimates that hold uniformly over some class of metrics. The best known examples are eigenvalue bounds under curvature as…