Comparison Between Conformal Invariants for Conformally Compact Einstein Metrics: Some Counter-Example from the Metrics Developed by Pedersen
Year: 2023
Author: Paul Fraux
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 357–365
Abstract
The study of asymptotically hyperbolic Einstein metric is a rich field in theoretical physics and geometry. Pedersen introduced a family of examples for the dimension 4, and we look in this paper into the sign of some of its conformal invariant, namely renormalized volume and Yamabe-type constant. This brings some insights in the study of conformally compact Einstein manifold, as the comparison of invariants is already common practice.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n4.23.04
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 357–365
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Conformally compact Einstein manifolds Berger sphere at infinity Renormalized volume Yamabe-Escobar constant.