New relations between G2 geometries in dimensions 5 and 7

DOI10.1142/S0129167X1750094XzbMath1388.53015arXiv1601.03979MaRDI QIDQ4597971

Katja Sagerschnig, Thomas Leistner, Paweł~ Nurowski

Publication date: 14 December 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03979

zbMATH Keywords

parabolic geometry\(\mathrm{G}_2\)Cartan connectionLie contact structure\((2,3,5)\) distribution

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Exterior differential systems (Cartan theory) (58A15) Issues of holonomy in differential geometry (53C29) Symplectic geometry, contact geometry (53D99) Other connections (53B15) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Homogeneous real \((2,3,5)\) distributions with isotropy, Analytic torsion of generic rank two distributions in dimension five, ON COMPACT HOMOGENEOUS -MANIFOLDS, Local equivalence of some maximally symmetric rolling distributions and \(SU(2)\) Pfaffian systems, DUALITY OF (2, 3, 5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES

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