Local equivalence of some maximally symmetric rolling distributions and \(SU(2)\) Pfaffian systems
DOI10.14492/hokmj/2021-502zbMath1526.53024arXiv1705.08172MaRDI QIDQ6172000
Publication date: 18 July 2023
Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.08172
General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Exterior differential systems (Cartan theory) (58A15) Motion of a rigid body in contact with a solid surface (70E18) Vector distributions (subbundles of the tangent bundles) (58A30) Conformal structures on manifolds (53C18)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The geometry of almost Einstein \((2,3,5)\) distributions
- Cartan's incomplete classification and an explicit ambient metric of holonomy \(\mathrm G_2^\ast\)
- Conformal structures associated to generic rank 2 distributions on 5-manifolds -- characterization and Killing-field decomposition
- Rigidity of integral curves of rank 2 distributions
- Exceptionally simple PDE
- Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebański metric
- \(G_2\) and the rolling distribution
- On the models of submaximal symmetric rank 2 distributions in 5D
- Twistor space for rolling bodies
- Differential equations and conformal structures
- Highly symmetric 2-plane fields on 5-manifolds and 5-dimensional Heisenberg group holonomy
- 𝐺₂ and the rolling ball
- New relations between G2 geometries in dimensions 5 and 7
- The dancing metric, ${G}_2$-symmetry and projective rolling
- On 5-manifolds admitting rank two distributions of Cartan type
- A Monge normal form for the rolling distribution
- Nearly Kahler geometry and (2,3,5)-distributions via projective holonomy
This page was built for publication: Local equivalence of some maximally symmetric rolling distributions and \(SU(2)\) Pfaffian systems
