Operator algebra seminar

Speaker:  Kenro Furutani (Tokyo University of Science)

Title: A co-dimension 3 sub-Riemannian structure on Gromoll-Meyer exotic sphere

Abstract: We construct a co-dimension $3$ completely non-holonomic sub-bundle on the Gromoll-Meyer exotic $7$ sphere based on it's realization as a base space of Sp(2) principal bundle with the structure group Sp(1). The same method is valid for constructing a co-dimension 3 sub-bundle on the standard 7 sphere(and also on $4n+3$ dimensional standard sphere). For the standard sphere cases a co-dimension 3 sub-bundle was constructed by making use of the Hopf bundle. Our method gives a simple proof for the standard cases.