A projective-to-conformal Fefferman-type construction

DOI10.3842/SIGMA.2017.081zbMath1378.53019arXiv1510.03337OpenAlexW2511974819MaRDI QIDQ1680630

Arman Taghavi-Chabert, Katja Sagerschnig, Matthias Hammerl, Josef Šilhan, Vojtech Zadnik

Publication date: 16 November 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03337

zbMATH Keywords

twistor spinorsprojective structureconformal structureparabolic geometryCartan connectionFefferman spaces

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Projective connections (53B10)

Related Items (3)

Modified conformal extensions ⋮ Canonical curves and Kropina metrics in Lagrangian contact geometry ⋮ The geometry of almost Einstein \((2,3,5)\) distributions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pure spinors, intrinsic torsion and curvature in even dimensions
• Twistor geometry of null foliations in complex Euclidean space
• A holonomy characterisation of Fefferman spaces
• Projective versus metric structures
• On quaternionic contact Fefferman spaces
• Thomas's structure bundle for conformal, projective and related structures
• Conformal Patterson-Walker metrics
• Infinitesimal automorphisms and deformations of parabolic geometries
• Coupling solutions of BGG-equations in conformal spin geometry
• Holonomy reductions of Cartan geometries and curved orbit decompositions
• Laplacian operators and \(Q\)-curvature on conformally Einstein manifolds
• Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
• Four–dimensional metrics conformal to Kähler
• CR-tractors and the Fefferman space
• A generalised Kerr-Robinson theorem
• Three-dimensional Cauchy–Riemann structures and second-order ordinary differential equations
• Fefferman–Graham ambient metrics of Patterson–Walker metrics
• Correspondence spaces and twistor spaces for parabolic geometries
• Fefferman-type metrics and the projective geometry of sprays in two dimensions
• Notes on Projective Differential Geometry
• RIEMANN EXTENSIONS
• Bernstein-Gelfand-Gelfand sequences

This page was built for publication: A projective-to-conformal Fefferman-type construction