Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle
微分几何
2007-05-23 v1
摘要
We generalize reduction theorems for classical connections to operators with values in -th order natural bundles. Using the first reduction theorem in order two we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection.
引用
@article{arxiv.math/0405218,
title = {Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle},
author = {Josef Janyška},
journal= {arXiv preprint arXiv:math/0405218},
year = {2007}
}