Why is the metric tensor symmetric?
38714
Can a metric in General Relativity, Supergravity, String Theory, etc., be asymmetric?
22279
Local and Global Symmetries
27652
metric on the Euclidean Group
153198
Cylindrical vs azimuthal symmetry
42361
Why do we use the Euclidean metric on $\mathbb{R}^2$?
63184
symmetric functions vs symmetric polynomials
34312
Mathematically-oriented Treatment of General Relativity
41818
Formula for Symmetry Factor
158540
Coordinates vs. Geometries: How can we know two coordinate systems describe the same geometry?
96456
General Relativity Equivalence
65840
Norm induced by metric
40023
Asymptotic behaviour of the riemannian metric in polar coordinates
77157
In GR, why should the spacetime manifold be differentiable?
70289
What does a symmetric matrix transformation do, geometrically?
76894
Why is spacetime not Riemannian?
14799
How to show that the spherical metric satisfies the triangle inequality?
22133
Why is the covariant derivative of the determinant of the metric zero?