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math.DG2026
Harmonic morphisms of sub-Riemannian Lie groups
Sebastiano Nicolussi Golo, Andrea Pinamonti, Ben Warhurst
We prove that harmonic morphisms between sub-Riemannian Lie groups are smooth, are symmetries of the sub-Riemannian Laplacian and are conformal submersions that satisfy a particula…
math.DG2026
Quantitative versions of Pansu Asymptotic Theorem and of Mitchell Tangent Theorem
Enrico Le Donne, Sebastiano Nicolussi Golo, Andrea Tettamanti
We quantitatively study the speed of convergence of geodesic Lie groups to their metric limits. For nilpotent geodesic Lie groups, we give estimates on the difference of the origin…