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A canonical distribution on isoparametric submanifolds II
Volume 62, no. 2
(2021),
pp. 491–513
https://doi.org/10.33044/revuma.1799
Abstract
The present paper continues our previous work
[Rev. Un. Mat. Argentina 61 (2020), no. 1, 113–130],
which was devoted to showing
that on every compact, connected homogeneous isoparametric
submanifold $M$ of codimension $h\geq 2$ in a Euclidean space, there exists
a canonical distribution which is bracket generating of step 2.
In that work this fact was established for the case when the system of
restricted roots is reduced. Here we complete the proof of the main result
for the case in which the system of restricted roots is
$(BC)_{q}$, i.e., non-reduced.
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Published by the Unión Matemática Argentina |
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