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2-regular points in Ricci limit spaces

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arxiv 2406.08306 v2 pith:RAKVAHKN submitted 2024-06-12 math.DG

classification math.DG
keywords regularlimitpointsricciwillboundcontainscurvature
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In this note, we will show that if a measured Gromov-Hausdorff limit space of a sequence of Riemannian manifolds with lower Ricci curvature bound contains a 2-regular point which lies in the interior of a geodesic, then it is 2-rectifiable. And we will also give some properties about 2-regular points.

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