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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2022 Volume 18, 086, 21 pp. (Mi sigma1882)

The Weighted Ambient Metric

Jeffrey Case, Ayush Khaitan

Department of Mathematics, Penn State University, PA, USA

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

Keywords: ambient metric, Poincaré metric, smooth metric measure space.

MSC: 53A31, 53A55, 31C12

Received: March 1, 2022; in final form October 25, 2022; Published online November 2, 2022

Language: English

DOI: 10.3842/SIGMA.2022.086



Bibliographic databases:
ArXiv: 2202.11153


© Steklov Math. Inst. of RAS, 2024