A holonomy characterisation of Fefferman spaces

DOI10.1007/s10455-010-9220-6zbMath1298.53041arXivmath/0611939OpenAlexW2093700788WikidataQ57408569 ScholiaQ57408569MaRDI QIDQ605054

A. Rod Gover, Andreas Čap

Publication date: 23 November 2010

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611939

zbMATH Keywords

CR structureconformal holonomyFefferman spaceparallel orthogonal complex structurestandard tractor bundle

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Issues of holonomy in differential geometry (53C29) Other special differential geometries (53A40)

Related Items (16)

First BGG operators on homogeneous conformal geometries ⋮ Conformal holonomy, symmetric spaces, and skew symmetric torsion ⋮ The ambient obstruction tensor and conformal holonomy ⋮ A projective-to-conformal Fefferman-type construction ⋮ Holonomy classification of Lorentz-Kähler manifolds ⋮ Transitive conformal holonomy groups ⋮ Almost Robinson geometries ⋮ Coupling solutions of BGG-equations in conformal spin geometry ⋮ Compactifications of indefinite 3-Sasaki structures and their quaternionic Kähler quotients ⋮ Holonomy reductions of Cartan geometries and curved orbit decompositions ⋮ The geometry of almost Einstein \((2,3,5)\) distributions ⋮ The twistor spinors of generic 2- and 3-distributions ⋮ Connected subgroups of \(\mathrm{SO}(2,n)\) acting irreducibly on \(\mathbb R^{2,n}\) ⋮ Projective geometry of Sasaki–Einstein structures and their compactification ⋮ Decomposable conformal holonomy in Riemannian signature ⋮ Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions

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