Timeline for Isometry between Minkowski space and Tangent space in an article by Stefan Waldmann
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
May 19, 2022 at 16:03 | comment | added | DamienC | A manifold is something that locally looks like a finite dimensional R-vector space. As such, any finite dimensional R-vector space is a manifold. I don't understand what you don't understand. | |
May 18, 2022 at 17:11 | comment | added | amilton moreira | $R^n$ can be a manifold without being a vector space | |
May 18, 2022 at 14:50 | comment | added | DamienC | @amiltonmoreira would you refuse to consider $\mathbb{R}^n$ as a vector space because several pages before it had been considered as a manifold? Every finite dimensional vector space equipped with a nondegenerate pairing is an example of a pseudo-riemannian manifold. Example 2.1.22 of loc.cit. essentially says this (it is even written "constant metric", with "constant" emphazised). | |
May 18, 2022 at 14:36 | comment | added | amilton moreira | At page 64 example 2.1.22 he defined Minskowsky spacetime as a manifold not as vector space. | |
May 18, 2022 at 9:51 | history | answered | DamienC | CC BY-SA 4.0 |