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math.DGJul 1, 2018
2
citations (OpenAlex)
authors
  • Travis Willse
institutions
  • University of Vienna
arXiv abstractPDF
paper

Homogeneous Real (2,3,5) Distributions with Isotropy

arXiv:1807.02734 · doi:10.3842/SIGMA.2019.008

Abstract

We classify multiply transitive homogeneous real (2,3,5) distributions up to local diffeomorphism equivalence.

References in corpus (16)

  • Differential equations and conformal structures
  • Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds - Characterization and Killing-Field Decomposition
  • The twistor spinors of generic 2- and 3-distributions
  • Twistor space for rolling bodies
  • Homogeneous Levi non-degenerate hypersurfaces in C3
  • On Nurowski's conformal structure associated to a generic rank two distribution in dimension five
  • Nearly Kähler Geometry and (2,3,5)-Distributions via Projective Holonomy
  • The Geometry of Almost Einstein (2,3,5) Distributions
  • Conformal structures with G2(2)​-ambient metrics
  • Flat (2,3,5)-Distributions and Chazy's Equations
  • New relations between G2​-geometries in dimensions 5 and 7
  • A new example of a generic 2-distribution on a 5-manifold with large symmetry algebra
  • G2 and the Rolling Ball
  • Geometry of rank 2 distributions with nonzero Wilczynski invariants and affine control systems with one input
  • Duality of (2,3,5)-distributions and Lagrangian cone structures
  • Space-time and G_2

Cited by in corpus (2)

  • First BGG operators via homogeneous examples
  • Characteristic forms of complex Cartan geometries II
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