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On the notion of parallel transport on RCD spaces

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.
Main Authors
Gigli, Nicola Pasqualetto, Enrico
Format
Articles Research article
Published
2020
Series
Revista Matematica Iberoamericana
Subjects
parallel transport
RCD spaces
metriset avaruudet
funktioteoria
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/33942565
Publisher
European Mathematical Society Publishing House
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202001031023Use this for linking
Review status
Peer reviewed
ISSN
0213-2230
DOI
https://doi.org/10.4171/rmi/1140
Language
English
Published in
Revista Matematica Iberoamericana
Citation
  • Gigli, N., & Pasqualetto, E. (2020). On the notion of parallel transport on RCD spaces. Revista Matematica Iberoamericana, 36(2), 571-609. https://doi.org/10.4171/rmi/1140
License
In CopyrightOpen Access
Additional information about funding
This research has been supported by the MIUR SIR-grant ‘Nonsmooth Differential Geometry’ (RBSI147UG4)
Copyright© 2019 European Mathematical Society

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