Conformal operators on weighted forms; their decomposition and null space on Einstein manifolds
From MaRDI portal
Publication:2448269
DOI10.1007/s00023-013-0258-4zbMath1296.58022arXiv1211.5330OpenAlexW2025026991MaRDI QIDQ2448269
Publication date: 30 April 2014
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.5330
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Conformal harmonic forms, Branson-Gover operators and Dirichlet problem at infinity
- The conformal Killing equation on forms-prolongations and applications
- A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
- Commuting linear operators and decompositions; applications to Einstein manifolds
- The ambient obstruction tensor and the conformal deformation complex
- Conformal operators on forms and detour complexes on Einstein manifolds
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Group representations arising from Lorentz conformal geometry
- Semiholonomic Verma modules
- Conformally invariant powers of the Laplacian, \(Q\)-curvature, and tractor calculus
- Scattering matrix in conformal geometry
- Standard tractors and the conformal ambient metric construction
- Ambient metric construction of \(Q\)-curvature in conformal and CR geometries
- Clifford analysis techniques for spherical PDE.
- Conformal anomaly of submanifold observables in AdS/CFT correspondence
- Thomas's structure bundle for conformal, projective and related structures
- Extremal metrics of zeta function determinants on 4-manifolds
- Existence of conformal metrics with constant \(Q\)-curvature
- Holographic formula for \(Q\)-curvature
- Laplacian operators and \(Q\)-curvature on conformally Einstein manifolds
- Families of conformally covariant differential operators, Q-curvature and holography
- Obstructions to conformally Einstein metrics in \(n\) dimensions
- Wave equations in conformal space
- Tractor calculi for parabolic geometries
- Conformal Invariants from Nodal Sets. I. Negative Eigenvalues and Curvature Prescription
- The Ambient Metric (AM-178)
- Conformally Invariant Powers of the Laplacian, I: Existence
- Conformally invariant powers of the Dirac operator in Clifford analysis
- Differential operators cononically associated to a conformal structure.
- Sharp Inequalities, the Functional Determinant, and the Complementary Series
- Poincaré–Einstein holography for forms via conformal geometry in the bulk
- CONFORMAL SCATTERING AND THE GOURSAT PROBLEM
- CR invariant powers of the sub-Laplacian
- Conformally Invariant Operators, Differential Forms, Cohomology and a Generalisation of Q-Curvature
- A Conformal Wave Equation
- Invariant theory and calculus for conformal geometries
