JournalsrmiVol. 36, No. 2pp. 571–609

On the notion of parallel transport on RCD spaces

  • Nicola Gigli

    SISSA, Trieste, Italy
  • Enrico Pasqualetto

    University of Jyväskylä, Finland
On the notion of parallel transport on RCD spaces cover
Download PDF

A subscription is required to access this article.

Abstract

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

Cite this article

Nicola Gigli, Enrico Pasqualetto, On the notion of parallel transport on RCD spaces. Rev. Mat. Iberoam. 36 (2020), no. 2, pp. 571–609

DOI 10.4171/RMI/1140