1547845440-The_Ricci_Flow_-_Techniques_and_Applications_-_Part_III__Chow_

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  1. NOTES AND COMMENTARY


Space through a microscope with higher resolution, where
Space is now described not by some (Riemannian or any
other) metric, but by an hierarchy of Riemannian metrics,
connected by the Ricci fl.ow equation. Note that we have a
paradox here: the regions that appear to be far from each
other at larger distance scale may become close at smaller
distance scale; moreover, if we allow Ricci fl.ow through sin-
gularities, the regions that are in different connected compo-
nents at larger distance scale may become neighboring when
viewed through microscope."


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