Conformal structures associated to generic rank 2 distributions on 5-manifolds -- characterization and Killing-field decomposition

DOI10.3842/SIGMA.2009.081zbMath1191.53016arXiv0908.0483OpenAlexW2126847907MaRDI QIDQ970265

Katja Sagerschnig, Matthias Hammerl

Publication date: 17 May 2010

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

Full work available at URL: https://arxiv.org/abs/0908.0483

zbMATH Keywords

conformal geometrygeneric distributionstractor calculusFefferman constructionalmost Einstein scalesconformal Killing fields

Mathematics Subject Classification ID

Related Items (19)

Homogeneous real \((2,3,5)\) distributions with isotropy ⋮ Analytic torsion of generic rank two distributions in dimension five ⋮ Local type I metrics with holonomy in \(\mathrm{G}_2^\ast\) ⋮ Differential invariants of curves in \(G_2\) flag varieties ⋮ Subtleties concerning conformal tractor bundles ⋮ Transitive conformal holonomy groups ⋮ New relations between G2 geometries in dimensions 5 and 7 ⋮ Coupling solutions of BGG-equations in conformal spin geometry ⋮ Local equivalence of some maximally symmetric rolling distributions and \(SU(2)\) Pfaffian systems ⋮ 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 ⋮ On quaternionic contact Fefferman spaces ⋮ Projective geometry of Sasaki–Einstein structures and their compactification ⋮ The heat asymptotics on filtered manifolds ⋮ Aspects of conformal holonomy ⋮ Para-Kähler-Einstein \(4\)-manifolds and non-integrable twistor distributions ⋮ Pure spinors, intrinsic torsion and curvature in odd dimensions ⋮ Decomposable conformal holonomy in Riemannian signature

This page was built for publication: Conformal structures associated to generic rank 2 distributions on 5-manifolds -- characterization and Killing-field decomposition