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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
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Every riemannian length structure on $\mathbb{R}^n$ is induced by a continuous function $f:\...
This question is a cross post from Math.SE. Unfortunately the migration of the question is not possible after two months of posting.
I have been reading about length spaces in the (great) book Metric …
10
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Accepted
Textbook recommendation: Metric Geometry
As you have been reading Loh's book, I recommend you take a look at Metric spaces of non-positive curvature by M. Bridson and A. Häfliger.
See also An invitation to Alexandrov geometry: CAT(0) spaces …
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Introduction to Finsler manifolds from the metric geometry point of view (possibly from the ...
This question is a cross post from Math.SE. I have requested the migration of the question, but unfortunately it is not possible after two months of posting. I also have found this related question, b …