New posts in Connections

The meaning of "metric preserving" connection.

Does existence of a parallel section on $E$ imply local existence of a parallel section on $\bigwedge^k E$?

Vanishing of curvature tensor implies path independence of parallel transport only to second order?

Covariant derivative versus exterior derivative

Proving the Ricci identity

Equivalent definition of metric compatibility for a connection: what does $\nabla g$ mean?

What is the mathematical understanding behind what physicists call a gauge fixing?

Geometric meaning of symmetric connection

Multiplication in Deligne cohomology: explicit formula for $p=q=1$

Atiyah Sequence and Connections on a Principal Bundle