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arXiv · 1901.06966

Weakly noncollapsed RCD spaces with upper curvature bounds

Vitali Kapovitch·Christian Ketterer
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Abstract

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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Vitali Kapovitch, Christian Ketterer. 2019-01-21. Weakly noncollapsed RCD spaces with upper curvature bounds. https://arxiv.org/abs/1901.06966

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