- #1
quietrain
- 655
- 2
Riemann Curvature?
i was watching this documentary that mentioned that riemann came up with a method to deduce whether we were on a curved surface, or on a flat surface, without leaving the surface to make the deduction.
for example, for a curved 2d surface, we know it is as such as we can see it from the 3d space we are in
but for a 3d curve, we need to be in the 4th dimension which is not possible. so he came up with a method to deduce this.
[* by the way, what is a 3d curve?]
may i know what method is this? is there anywhere i could read it on? (preferably on the internet)
thanks!
i was watching this documentary that mentioned that riemann came up with a method to deduce whether we were on a curved surface, or on a flat surface, without leaving the surface to make the deduction.
for example, for a curved 2d surface, we know it is as such as we can see it from the 3d space we are in
but for a 3d curve, we need to be in the 4th dimension which is not possible. so he came up with a method to deduce this.
[* by the way, what is a 3d curve?]
may i know what method is this? is there anywhere i could read it on? (preferably on the internet)
thanks!