English

The Weighted Ambient Metric

Differential Geometry 2022-11-03 v2

Abstract

We prove the existence and uniqueness of weighted ambient metrics and weighted Poincar\'e metrics for smooth metric measure spaces.

Keywords

Cite

@article{arxiv.2202.11153,
  title  = {The Weighted Ambient Metric},
  author = {Jeffrey S. Case and Ayush Khaitan},
  journal= {arXiv preprint arXiv:2202.11153},
  year   = {2022}
}
R2 v1 2026-06-24T09:50:20.037Z