A co-dimensional 3 sub-Riemannian structure on Gromoll-Meyer exotic sphere

Wolfram Bauer, Kenro Furutani, Chisato Iwasaki

We construct a co-dimension $3$ completely non-holonomic sub-bundle on the Gromoll-Meyer exotic $7$ sphere based on its realization as a base space of a Sp(2)-principal bundle with…