- #1
Joker93
- 504
- 36
Hello!
I have learned Riemannian Geometry, so the only connection I have ever worked with is the Levi-Civita connection(covariant derivative of metric tensor vanishes and the Chrystoffel symbols are symmetric).
When performing a parallel transport with the L-C connection, angles and lengths are preserved.
Now, I am trying to learn about the Berry phase which is full of differential geometry. What I want to learn is whether or not the Berry connection is a Levi-Civita connection.
Thank you in advance.
I have learned Riemannian Geometry, so the only connection I have ever worked with is the Levi-Civita connection(covariant derivative of metric tensor vanishes and the Chrystoffel symbols are symmetric).
When performing a parallel transport with the L-C connection, angles and lengths are preserved.
Now, I am trying to learn about the Berry phase which is full of differential geometry. What I want to learn is whether or not the Berry connection is a Levi-Civita connection.
Thank you in advance.