Curves in Minkowski Space | Differential Geometry Reading Stream | Episode 8

The Diff Geo Kreyszig book Chapter 2 Theory of Curves review stream is postponed until the next episode because I started to film the review and it was just too damn long lol. I figured it would be easier to preview next stream by reading a section of an equivalent chapter in a different book, Differential Geometry: Curves - Surfaces - Manifolds by Wolfgang Kühnel. Kühnel's book is the required text for MIT OCW 18.950 Differential Geometry. In the upcoming review, I want to compare and contrast the contents of Kreyszig and Kühnel's books, skim the MIT OCW notes, and maybe do a few of the problems from the assignments. There's a fair amount of overlap between the two books but I figured reading this section from chapter 2 of the Kühnel book first would make next review stream a bit shorter (lol we'll see though...). I mention that I think Kühnel's book is slightly more in-depth than the Kreyszig book but both are about equal as far as overall difficulty/level. The book this reading stream series is mainly on is Differential Geometry by Erwin Kreyszig, Dover Ed.: https://amzn.to/4cZRL0v The book in this video which is the required text for MIT OCW 18.950 is Differential Geometry: Curves - Surfaces - Manifolds by Wolgang Kühnel, AMS 3rd Ed.: https://amzn.to/49GoBAG TIMESTAMPS ============ 3:47 Reading begins 5:05 2.17. Definition. (Minkowski space) 7:54 2.18. Definition. (A regular curve is either space-like, time-like or light-like/isotropic/a null curve) 9:34 2.19. Lemma. (Affine parameter) 12:37 2.20. Theorem. (Frenet equations in Minkowski space) 15:42 2.21. Example. (Curves with constant curvature and torsion)