Revista Matemática Iberoamericana


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Published online first: 2019-12-17
DOI: 10.4171/rmi/1140

On the notion of parallel transport on RCD spaces

Nicola Gigli[1] and Enrico Pasqualetto[2]

(1) SISSA, Trieste, Italy
(2) University of Jyväskylä, Finland

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

Keywords: Parallel transport, RCD spaces

Gigli Nicola, Pasqualetto Enrico: On the notion of parallel transport on RCD spaces. Rev. Mat. Iberoam. Electronically published on December 17, 2019. doi: 10.4171/rmi/1140 (to appear in print)