Which postulate of GR requires that $ds^2=g_{\mu\nu}(x)dx^\mu dx^\nu$ must be invariant?
10209
How to show the spacetime interval is invariant in general?
22279
Local and Global Symmetries
126390
Covariance of Euler-Lagrange equations under change of generalized coordinates
19453
Invariance of domain for manifold
54857
The wave equation in general relativity, special relativity, and Cartesian coordinates
83917
How can I prove that the following Lagrangian is Lorentz-invariant iff the axionic field is a pseudoscalar?
133756
Geometric interpretation of $\det(A^T) = \det(A)$
130166
Equivalece of the geodesic equation and the continuity equation for the energy-momentum tensor
13312
Is there something similar to Noether's theorem for discrete symmetries?
45586
General Relativity 2-Body Closed Form
152446
Noether's Theorem and scale invariance
33949
Leibniz Rule for Covariant derivatives
38127
Equivalence between Kähler condition and $\partial_kg_{i\bar j} = \partial_ ig_{k\bar j}$
28416
Show that $\partial_\nu T^{\mu\nu} = - j_\nu F^{\mu\nu}$
63952
Disproving: If $(\Gamma\vdash(\phi\,\lor\psi))$, either $(\Gamma\vdash\phi)$ or $(\Gamma\vdash\psi)$ is true
76694
Proving that $UT=TU$ iff $U=g(T)$ for some polynomial $g$
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$