Riemannian metric from metric
77867
Existence of a Riemannian metric inducing a given distance.
11094
How to prove that the French railways metric is a metric
59833
Isometric embedding of Schwarzchild metric in $\mathbb{R}^4$
35298
A question about the higher-order Weyl variation for the geodesic distance
258
Existence of orthogonal coordinates on a Riemannian manifold
37840
Does the Levi-Civita connection determine the metric?
107321
How to show convexity of a ball in metric space?
112329
Show that $d(z,a)=|\frac{z-a}{1-\overline{a}z}|$ is a metric on the unit disk
132911
Determining if there can be smooth closed geodesic given its curvature
96887
Dimension of isometry group of complete connected Riemannian manifold
105437
How can I show these two metrics give the same topology?
129961
Compute curvature tensor from constant sectional curvature
114047
Metric $d(x,y)=\frac{|x-y|}{\sqrt{1+x^2}\sqrt{1+y^2}}$ on $\mathbb{R}$
123039
If $0<\alpha < 1$ and $d(x,y)$ is metric, show that $((d(x,y))^{\alpha}$ is metric.
127798
Null geodesic given metric
78108
Do these define metrics on $\mathbb{R}$?
69798
Intersecting geodesics in a positive curvature manifold