混合对称张量的分次微分几何
数学物理
2019-06-26 v4 广义相对论与量子宇宙学
高能物理 - 理论
微分几何
math.MP
摘要
我们展示了 -流形（其为超流形的非平凡推广）的理论如何可用于混合对称张量（如对偶引力子）的几何方法。讨论了此类张量场在平直与弯曲时空中的几何方面。
引用
@article{arxiv.1806.04048,
title = {The Graded Differential Geometry of Mixed Symmetry Tensors},
author = {Andrew James Bruce and Eduardo Ibarguengoytia},
journal= {arXiv preprint arXiv:1806.04048},
year = {2019}
}
备注
9 pages. Several changes as compared with earlier versions. In particular, we have added "supersymmetries" of mixed symmetry tensors and have included a section on mixed symmetry tensors with values in vector bundles