Quantitative versions of Pansu Asymptotic Theorem and of Mitchell Tangent Theorem

Enrico Le Donne; Sebastiano Nicolussi Golo; Tettamanti, Andrea

doi:10.48550/arxiv.2601.21509

Quantitative versions of Pansu Asymptotic Theorem and of Mitchell Tangent Theorem

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Enrico Le Donne, Sebastiano Nicolussi Golo, Tettamanti, Andrea

DOI: 10.48550/arxiv.2601.21509

Cited by: 0

Abstract

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 original metrics and the asymptotic metrics, while for general geodesic Lie groups, we give similar estimates for the difference of the original metrics and the tangent metrics. In both settings, our results sharpen existing bounds in the literature.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Differential Geometry Research Geometric and Algebraic Topology

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 29 January 2026
Document type: Preprint