CR-invariants and the scattering operator for complex manifolds with boundary

DOI10.2140/apde.2008.1.197zbMath1159.32023OpenAlexW1990715264WikidataQ125330181 ScholiaQ125330181MaRDI QIDQ2378560

Siu-Hung Tang, Peter A. Perry, Peter D. Hislop

Publication date: 8 January 2009

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/apde.2008.1.197

zbMATH Keywords

CR geometry\(Q\)-curvaturegeometric scattering theory

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Complex Monge-Ampère operators (32W20)

Related Items (13)

\(Q\)-prime curvature on CR manifolds ⋮ The fractional CR curvature equation on the three-dimensional CR sphere ⋮ GJMS operators and \(Q\)-curvature for conformal Codazzi structures ⋮ Nonnegativity of the CR Paneitz operator for embeddable CR manifolds ⋮ Asymptotics of ACH-Einstein metrics ⋮ An extension problem for the CR fractional Laplacian ⋮ A nonlinear Liouville theorem for fractional equations in the Heisenberg group ⋮ On the scattering operators for ACHE metrics of Bergman type on strictly pseudoconvex domains ⋮ CR-invariants and the scattering operator for complex manifolds with CR-boundary ⋮ Variation of total Q-prime curvature on CR manifolds ⋮ GJMS operators, \(Q\)-curvature, and obstruction tensor of partially integrable CR manifolds ⋮ Self-dual Einstein ACH metrics and CR GJMS operators in dimension three ⋮ Poincaré–Einstein holography for forms via conformal geometry in the bulk

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