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Given this definition of geodesic, does it have constant speed ? $f(r,t)=f(r,s)+f(s,t)$
Let $(X,d)$ be a metric space, and $x,y\in X$. In Probability Measures on Metric Spaces of Nonpositive Curvature, Sturm defines a geodesic joining $x$ and $y$ as some continuous path $\gamma :[a,b]\to ...
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