Geometric properties of homogeneous parabolic geometries with generalized symmetries

DOI10.1016/j.difgeo.2016.09.008zbMath1352.53020arXiv1411.2402OpenAlexW2963127262WikidataQ115355604 ScholiaQ115355604MaRDI QIDQ344200

Lenka Zalabová, Jan Gregorovič

Publication date: 22 November 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2402

zbMATH Keywords

invariant distributionscorrespondence and twistor spacesgeneralized symmetriesholonomy reductionshomogeneous parabolic geometriesinvariant Weyl connections

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Invariance and symmetry properties for PDEs on manifolds (58J70) Group actions and symmetry properties (58D19) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Issues of holonomy in differential geometry (53C29) (G)-structures (53C10)

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Local generalized symmetries and locally symmetric parabolic geometries ⋮ Modules over quandle spaces and representations of Lie-Yamaguti algebras ⋮ On equivalence problem for 2-nondegenerate CR geometries with simple models ⋮ On symmetric CR geometries of hypersurface type

Cites Work

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• Symmetric parabolic contact geometries and symmetric spaces
• General construction of symmetric parabolic structures
• Symmetries of parabolic geometries
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Symmetries of parabolic contact structures
• Holonomy reductions of Cartan geometries and curved orbit decompositions
• On automorphisms with natural tangent actions on homogeneous parabolic geometries
• Correspondence spaces and twistor spaces for parabolic geometries
• Lie groups beyond an introduction

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