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arxiv: 1901.06966 · v1 · pith:AAR5AACInew · submitted 2019-01-21 · 🧮 math.DG · math.MG

Weakly noncollapsed RCD spaces with upper curvature bounds

Vitali Kapovitch , Christian Ketterer This is my paper
classification 🧮 math.DG math.MG
keywords curvatureabovealexandrovboundedboundsconstkappamathcal
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We show that if a $CD(K,n)$ space $(X,d,f\mathcal{H}^n)$ with $n\geq 2$ has curvature bounded from above by $\kappa$ in the sense of Alexandrov then $f=const$.

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