Stability of pure Nilpotent Structures on collapsed Manifolds

The goal of this paper is to study the stability of pure nilpotent structures on a manifold associated to different collapsed metrics. We prove that if two metrics on a $n$-manifold of bounded sectional curvature are $L_0$-bi-Lipchitz equivalent and sufficient collapsed (depending on $L_0$ and $n$),...

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Hauptverfasser:	Jiang, Zuohai, Xu, Shicheng
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Differential Geometry
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