Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 18 (2022), 086, 21 pages      arXiv:2202.11153      https://doi.org/10.3842/SIGMA.2022.086

The Weighted Ambient Metric

Jeffrey Case and Ayush Khaitan
Department of Mathematics, Penn State University, PA, USA

Received March 01, 2022, in final form October 25, 2022; Published online November 02, 2022

Abstract
We prove the existence and uniqueness of weighted ambient metrics and weighted Poincaré metrics for smooth metric measure spaces.

Key words: ambient metric; Poincaré metric; smooth metric measure space.

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