Sub-semi-Riemannian geometry of general \(H\)-type groups

DOI10.1016/j.bulsci.2013.05.005zbMath1304.53071arXiv1207.5608OpenAlexW2962996252WikidataQ115359967 ScholiaQ115359967MaRDI QIDQ390556

Irina Markina, Mauricio Godoy Molina, Anna Korolko

Publication date: 8 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5608

zbMATH Keywords

geodesicClifford algebra\(H\)-type groupcomposition of quadratic formssub-semi-Riemannian geometry

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Sub-Riemannian geometry (53C17)

Related Items (10)

Rigidity of 2-step Carnot groups ⋮ Complete classification of pseudo \(H\)-type Lie algebras. I ⋮ Automorphism groups of pseudo \(H\)-type algebras ⋮ Free nilpotent and \(H\)-type Lie algebras. Combinatorial and orthogonal designs ⋮ Pseudo-metric 2-step nilpotent Lie algebras ⋮ Lie algebras attached to Clifford modules and simple graded Lie algebras ⋮ Complete classification of pseudo \(H\)-type algebras. II ⋮ The sub-Riemannian cut locus ofH-type groups ⋮ Geodesics in the Engel group with a sub-Lorentzian metric -- the space-like case ⋮ Connections on bundles of horizontal frames associated with contact sub-pseudo-Riemannian manifolds

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