On the notion of parallel transport on RCD spaces

Nicola Gigli; Enrico Pasqualetto

doi:10.4171/rmi/1140

JournalsrmiVol. 36, No. 2pp. 571–609

On the notion of parallel transport on RCD spaces

Nicola Gigli
SISSA, Trieste, Italy
- MathSciNet
- zbMATH Open
Enrico Pasqualetto
University of Jyväskylä, Finland

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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