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arxiv: 1512.03113 · v1 · pith:UAE6NAQ6new · submitted 2015-12-09 · 🧮 math.DG

From volume cone to metric cone in the nonsmooth setting

classification 🧮 math.DG
keywords conespacesmetricsettingvolumecheeger-coldingclassgeneralising
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We prove that `volume cone implies metric cone' in the setting of RCD spaces, thus generalising to this class of spaces a well known result of Cheeger-Colding valid in Ricci-limit spaces.

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