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比利时vs摩洛哥足彩 ,
university of california san diego

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final defense

yongjia zhang

ucsd

perelman's entropy on ancient solutions to the ricci flow

abstract:

we prove a gap theorem for asymptotic entropy on ancient ricci flows. we also prove an assertion made by perelman in his paper ``the entropy formula for the ricci flow and its geometric applications'', saying that for an ancient solution with bounded nonnegative curvature operator, bounded entropy is equivalent to noncollapsing on all scales.

advisors: bennet chow and lei ni

may 17, 2019

11:00 am

ap&m 6402

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