Calculus of Variations and Geometric Measure Theory

N. Gigli - E. Pasqualetto

On the notion of parallel transport on $\sf RCD$ spaces

created by gigli on 21 Jul 2020

[BibTeX]

preprint

Inserted: 21 jul 2020

Year: 2018

ArXiv: 1803.05374 PDF

Abstract:

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