Nonholonomic Lorentzian geometry on some $\mathbb H$-type groups

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dc.creatorKorolko, Anna
dc.creatorMarkina, Irina
dc.date2008-09-25
dc.date.accessioned2026-07-07T10:05:20Z
dc.date.available2026-07-07T10:05:20Z
dc.descriptionWe consider examples of the $\mathbb H$-type groups with the natural horizontal distribution generated by the commutation relations of the group. In the contrast with the previous studies we furnish the horizontal distribution with the Lorentzian metric, which is nondegenerate metric of index 1 instead of a positive definite quadratic form. The causal character is defined. We study the reachable set by timelike future directed curves. The parametric equations of geodesics are obtained.
dc.identifierhttps://arxiv.org/abs/0809.4450
dc.identifierhttp://arxiv.org/abs/0809.4450
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169982
dc.subjectDifferential Geometry
dc.subject53C50
dc.titleNonholonomic Lorentzian geometry on some $\mathbb H$-type groups
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