Timeline for Is a symmetric, parallel (0,2)-tensor a metric?

5 events

when toggle format	what		by	license	comment
Dec 12, 2018 at 9:27	vote	accept	Dox
Dec 7, 2018 at 9:46	answer	added	Ben McKay		timeline score: 7
Dec 7, 2018 at 9:43	comment	added	Ben McKay		Also, you might want to know if $T_{ab}$ is positive definite, or some other signature, to see if you are studying a Riemannian, Lorentzian, or more general pseudo-Riemannian manifold.
Dec 7, 2018 at 9:41	comment	added	Ben McKay		What if $T=0$? You need to check that $T$ is nondegenerate, i.e. that the determinant of $T_{ab}$ is not zero. This nonzeroness is invariant, even though the determinant is not a scalar, as the determinant is a tensor in a tensor power of the volume form bundle.
Dec 7, 2018 at 9:00	history	asked	Dox	CC BY-SA 4.0