Submitted Paper

Inserted: 17 mar 2016
Last Updated: 10 jun 2017

Year: 2016

Abstract:

This paper is devoted to the study of weak and strong convergence of derivations, and of the flows associated to them, when dealing with a sequence of metric measure structures (X,d,m_n), m_n weakly convergent to m. In particular, under curvature assumptions, either only on the limit metric structure (X,d,m) or on the whole sequence of metric measure spaces, we provide several stability results.

Keywords: metric measure spaces, ODE flow, MGH convergence, convergence of flows

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• Stability_final_revised.pdf