General Nilpotent and Solvable Approximations of Almost-Riemannian Structures

Yacine Chitour; Philippe Jouan; Ronald Manríquez

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arXiv · 2204.04979

General Nilpotent and Solvable Approximations of Almost-Riemannian Structures

Yacine Chitour·Philippe Jouan·Ronald Manríquez

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Abstract

It is first shown that the nilpotent or the solvable approximation of an almost-Riemannian structure at a singular point is always a linear almost-Riemannian structure on a Lie group or a homogeneous space. The generic properties of almost-Riemannian structures are then investigated in all dimensions and the generic nilpotent and solvable approximations are identified.

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Yacine Chitour, Philippe Jouan, Ronald Manríquez. 2022-04-11. General Nilpotent and Solvable Approximations of Almost-Riemannian Structures. https://arxiv.org/abs/2204.04979

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