Gaussian Co-ordinates-background and derivation

  • Thread starter K29
  • Start date
  • #1
K29
108
0
In Section XXV of Relativity we are introduced to Gaussian Co-ordinates. I can't seem to find much about this on the internet, perhaps there is another name? Can anyone link some background behind why this system was initially derived, and most importantly does anyone know the derivation of ds[tex]^{2}[/tex] =g11du[tex]^{2}[/tex]+2g12dudv+g22dv[tex]^{2}[/tex] (formula for distance between two points on gaussian system)
Thanks in advance.
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,847
966
That's pretty much just saying that the distance between two points must be a
quadratic
since distance cannot be negative- and that's the most general possible quadratic formula in two dimensions.
 
  • #3
K29
108
0
Thanks for that.
 

Related Threads on Gaussian Co-ordinates-background and derivation

Replies
1
Views
2K
  • Last Post
Replies
12
Views
3K
Replies
16
Views
333
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
7
Views
2K
Replies
5
Views
2K
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
3
Views
2K
Replies
4
Views
2K
Replies
7
Views
1K
Top