# Transoformation of vector

1. Jul 1, 2012

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
$v^μ{}$=$\frac{}4{}21$

Last edited: Jul 1, 2012
2. Jul 1, 2012

### HallsofIvy

Staff Emeritus