English

On the notion of parallel transport on $\sf RCD$ spaces

Metric Geometry 2018-03-15 v1

Abstract

We propose a general notion of parallel transport on RCD\sf RCD spaces, prove an unconditioned uniqueness result and existence under suitable assumptions on the space.

Keywords

Cite

@article{arxiv.1803.05374,
  title  = {On the notion of parallel transport on $\sf RCD$ spaces},
  author = {Nicola Gigli and Enrico Pasqualetto},
  journal= {arXiv preprint arXiv:1803.05374},
  year   = {2018}
}