Horizontal submanifolds of groups of Heisenberg type

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We study maximal horizontal subgroups of Carnot groups of Heisenberg type. We classify those of dimension half of that of the canonical distribution ("lagrangians") and illustrate some notable ones of small dimension. An infinitesimal classification of the arbitrary maximal horizontal submanifolds follows as a consequence.
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Differential Geometry, 17B30 (primary), 51A50 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/102296

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509601
 http://arxiv.org/abs/math/0509601

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arXiv