- #1
sadegh4137
- 72
- 0
consider we have n dimensional manifold,N
at point p we can define a vector
this vector is independent of our coordinate.
assume we choose two chart (u,ψ) and (v,Ω) that intersection of ψ and Ω is not empty.
in this situation, we know a vector define at p in chart (u,ψ) transforms to chart (v,Ω) with this relation
v^μ{}=\frac{}4{}21
at point p we can define a vector
this vector is independent of our coordinate.
assume we choose two chart (u,ψ) and (v,Ω) that intersection of ψ and Ω is not empty.
in this situation, we know a vector define at p in chart (u,ψ) transforms to chart (v,Ω) with this relation
v^μ{}=\frac{}4{}21
Last edited: