Horizontal submanifolds of groups of Heisenberg type
Differential Geometry
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0509601,
title = {Horizontal submanifolds of groups of Heisenberg type},
author = {A. Kaplan and F. Levstein and L. Saal and A. Tiraboschi},
journal= {arXiv preprint arXiv:math/0509601},
year = {2007}
}
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