Self-dual Einstein ACH metrics and CR GJMS operators in dimension three

DOI10.2140/PJM.2019.301.519zbMath1436.32111arXiv1802.01264OpenAlexW3101395329WikidataQ126111870 ScholiaQ126111870MaRDI QIDQ2305352

Taiji Marugame

Publication date: 10 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01264

zbMATH Keywords

Einstein equationself-dualityCR manifoldsACH metricsCR invariant differential operators

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) Differential invariants (local theory), geometric objects (53A55)

Related Items (1)

CR-HARMONIC MAPS

Cites Work

• Asymptotics of ACH-Einstein metrics
• \(Q\)-curvature and Poincaré metrics
• The Burns-Epstein invariant and deformation of CR structures
• Boundary behaviour of the complex Monge-Ampère equation
• Resolvent of the Laplacian on strictly pseudoconvex domains
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Singular nonlinear Cauchy problems
• Scattering matrix in conformal geometry
• Ambient metric construction of \(Q\)-curvature in conformal and CR geometries
• On 3-dimensional CR manifolds and twistors
• CR-invariants and the scattering operator for complex manifolds with boundary
• The Ambient Metric (AM-178)
• ℋ -Space with a cosmological constant
• Conformally Invariant Powers of the Laplacian, I: Existence
• Psuedo-Einstein Structures on CR Manifolds
• Conformally invariant powers of the Laplacian — A complete nonexistence theorem
• CR invariant powers of the sub-Laplacian
• Bernstein-Gelfand-Gelfand sequences
• GJMS operators, \(Q\)-curvature, and obstruction tensor of partially integrable CR manifolds

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