Given a complete set of time and space-like geodesics plus knowledge of how these geodesics vary is this enough to determine the metric?
39948
Given a set of curved geodesics in 2D space, is there a way to determine the geometrical shape of said space?
27652
metric on the Euclidean Group
72072
How about an exact solution for the position of a planet as a function of time?
140124
The distance function on a metric space
37840
Does the Levi-Civita connection determine the metric?
9775
Metric on Cartesian Product
38714
Can a metric in General Relativity, Supergravity, String Theory, etc., be asymmetric?
53520
Can a conformal map be turned into an isometry?
104913
Geodesic for Electromagnetic forces
141643
Showing $\rho (x,y)=\frac{d(x,y)}{1+d(x,y)}$ is a metric
148837
Equivalent definition of metric compatibility for a connection: what does $\nabla g$ mean?
70177
Finding boundary co-ordinates from given set of point co-ordinates?
35883
Why do objects follow geodesics in spacetime?
75728
From trajectory of GPS points to multiline segment?
140263
Has a metric formulation of electromagnetism ever been attempted?
77867
Existence of a Riemannian metric inducing a given distance.
54685
Defining metrics as a function to something other than the reals.