Skip to main content
2 of 2
Copied image to imgur.com, as it was not being displayed because of the new https rule. Added link to original image source.

Source for: Geodesics in CAT(0) spaces

I am seeking a good introductory reference that could lead to an understanding of the properties of geodesics in complete CAT(0) metric spaces. I am especially interested in learning the differences between geodesics in these spaces and those in an $n$-dimensional Euclidean space with its usual Euclidean metric, which is of course CAT(0). I am ultimately interested in simplicial, cubical, and polyhedral complexes, but I am willing to start anywhere. Thanks for educating me!

           alt text (source)
           [Image from "Shortest path problem in rectangular complexes of global nonpositive curvature" (Elsevier link)]

Joseph O'Rourke
  • 150.9k
  • 36
  • 358
  • 958