On the notion of parallel transport on RCD spaces

• Nicola Gigli ^[2] ; Enrico Pasqualetto ^[1]
  1. [1] University of Jyväskylä

     University of Jyväskylä

     Jyväskylä, Finlandia

     
  2. [2] SISSA, Trieste
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 2, 2020, págs. 571-609
• Idioma: inglés
• DOI: 10.4171/rmi/1140
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• Resumen

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