A calibration in ${\mathbf{R}}^{16}$ and Federer's product question

Roger Züst

Building upon the construction of a Cayley calibration adapted to a complex structure, we introduce a calibration $\hat{I}¦$ in ${\bigwedge }^8{\mathbf{R}}^{16}$ with $|\hat{I}{¦}^2|=294$. This ena…