Assertion: connection | /r/HasProperty | skew-symmetric
Facets:
Source sentences:
text: The connection is skew-symmetric in the vector-space (fiber) indices; that is, for a given vector field X ∈ T M {\displaystyle X\in TM} , the matrix A ( X ) {\displaystyle A(X)} is skew-symmetric; equivalently, it is an element of the Lie algebra o