The dancing metric, ${G}_2$-symmetry and projective rolling

DOI10.1090/tran/7277zbMath1387.53021arXiv1506.00104OpenAlexW2406707337WikidataQ126207993 ScholiaQ126207993MaRDI QIDQ4608784

Gil Bor, Paweł~ Nurowski, Luis Hernández-Lamoneda

Publication date: 28 March 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00104

zbMATH Keywords

projective differential geometryconformal pseudo-Riemannian geometrydistributions on 5-manifolds

Mathematics Subject Classification ID

Related Items (15)

Flat \((2,3,5)\)-distributions and Chazy's equations ⋮ Twistor theory of dancing paths ⋮ Hyperheavenly spaces and their application in Walker and para-Kähler geometries. I ⋮ Analytic torsion of generic rank two distributions in dimension five ⋮ Classification of complex and real vacuum spaces of the type [N ⊗ [N]] ⋮ Hyperheavenly spaces and their application in Walker and para-Kähler geometries. II ⋮ Modified conformal extensions ⋮ On geometry of congruences of null strings in 4-dimensional complex and real pseudo-Riemannian spaces ⋮ Local equivalence of some maximally symmetric rolling distributions and \(SU(2)\) Pfaffian systems ⋮ Dancing polygons, rolling balls, and the Cartan-Engel distribution ⋮ Two-sided conformally recurrent self-dual spaces ⋮ On some examples of para-Hermite and para-Kähler Einstein spaces with \(\Lambda \neq 0\) ⋮ The geometry of almost Einstein \((2,3,5)\) distributions ⋮ Para-Kähler-Einstein \(4\)-manifolds and non-integrable twistor distributions ⋮ Ants and bracket generating distributions in dimensions 5 and 6

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