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math.DG2009
A rigidity theorem in Alexandrov spaces with lower curvature bound
Takumi Yokota
Distance functions of metric spaces with lower curvature bound, by definition, enjoy various metric inequalities; triangle comparison, quadruple comparison and the inequality of La…
math.DG2009
On the asymptotic reduced volume of the Ricci flow
Takumi Yokota
In this paper, we consider two different monotone quantities defined for the Ricci flow and show that their asymptotic limits coincide for any ancient solutions. One of the quantit…