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Approximation of length metrics by conformally flat Riemannian metrics
- Publication Year :
- 2024
-
Abstract
- We present a proof of the folklore result that any length metric on $\mathbb R^d$ can be approximated by conformally flat Riemannian distance functions in the uniform distance. This result is used to study Liouville quantum gravity in another paper by the same authors.<br />Comment: arXiv admin note: substantial text overlap with arXiv:2305.15588
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2410.23304
- Document Type :
- Working Paper