Horizontal submanifolds of groups of Heisenberg type

Details Horizontal submanifolds of groups of Heisenberg type Horizontal submanifolds of groups of Heisenberg type

2005-09-26

arxiv.org/abs/math/0509601v2

Mathematics

Differential Geometry

AMSLaTex

Scientific paper

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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