Conformal harmonic forms, Branson-Gover operators and Dirichlet problem at infinity

DOI10.4171/JEMS/271zbMath1225.53033arXiv0808.0552WikidataQ126200468 ScholiaQ126200468MaRDI QIDQ550559

Colin Guillarmou, Erwann Aubry

Publication date: 12 July 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0552

zbMATH Keywords

harmonic form\(Q\)-curvaturePoincaré-Einstein manifoldBranson-Gover differential operator

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Hodge theory in global analysis (58A14)

Related Items (11)

Explicit formulas for GJMS-operators and \(Q\)-curvatures ⋮ Resonances for symmetric tensors on asymptotically hyperbolic spaces ⋮ The Calabi metric and desingularization of Einstein orbifolds ⋮ Some \(Q\)-curvature operators on five-dimensional pseudohermitian manifolds ⋮ Conformal operators on weighted forms; their decomposition and null space on Einstein manifolds ⋮ Bergman and Calderón projectors for Dirac operators ⋮ Q-curvature prescription; forbidden functions and the GJMS null space ⋮ Commuting linear operators and decompositions; applications to Einstein manifolds ⋮ Conformal symmetry breaking differential operators on differential forms ⋮ Bernstein-Sato identities and conformal symmetry breaking operators ⋮ Poincaré–Einstein holography for forms via conformal geometry in the bulk

Cites Work

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