English

Remarks on natural differential operators with tensor fields

Differential Geometry 2019-08-14 v1

Abstract

We study natural differential operators transforming two tensor fields into a tensor field. First, it is proved that all bilinear operators are of order one, and then we give the full classification of such operators in several concrete situations.

Keywords

Cite

@article{arxiv.1908.04528,
  title  = {Remarks on natural differential operators with tensor fields},
  author = {Josef Janyška},
  journal= {arXiv preprint arXiv:1908.04528},
  year   = {2019}
}
R2 v1 2026-06-23T10:46:02.821Z