Tensor Fields and Connections on Cross-sections in the Frame Bundle of Second Order of a Parallelizable Manifold


Manuel_De Leon, Modesto Salgado


Let $V$ be a field of global frames on a parallelizable manifold. Then $V$ defines a cross-section in the frame bundle of second order $F^2M$ of $M$. The behaviour of the lifts of tensor fields and connections on $M$ to $F^2M$ along this cross-section is studied.