- #1
Angelos K
- 48
- 0
Hi, all,
According to my script, a connection [tex]\nabla_v[/tex] is symmetric if the following holds (I assume for every pair of vectors):
[tex]\nabla_v w - \nabla_w v =[v,w][/tex]
What is the idea behind that? Why are we interested in that kind of symmetry (not for instance 0 instead of the commutator)?
Thanks for any advice!
Angelos
According to my script, a connection [tex]\nabla_v[/tex] is symmetric if the following holds (I assume for every pair of vectors):
[tex]\nabla_v w - \nabla_w v =[v,w][/tex]
What is the idea behind that? Why are we interested in that kind of symmetry (not for instance 0 instead of the commutator)?
Thanks for any advice!
Angelos