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The Ambient Metric (AM-178)$
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Charles Fefferman and C. Robin Graham

Print publication date: 2011

Print ISBN-13: 9780691153131

Published to University Press Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691153131.001.0001

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date: 08 April 2020

Self-dual Poincaré Metrics

Self-dual Poincaré Metrics

(p.50) Chapter Five Self-dual Poincaré Metrics
The Ambient Metric (AM-178)

Charles Fefferman

C. Robin Graham

Princeton University Press

As an application of the formal theory for Poincaré metrics, this chapter presents a formal power series proof of a result of LeBrun [LeB] asserting the existence and uniqueness of a real-analytic self-dual Einstein metric in dimension 4 defined near the boundary with prescribed real-analytic conformal infinity.

Keywords:   Poincaré metrics, power series, conformal geometry, ambient metric, self-dual Einstein metric, conformal infinity

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