Cones over non-trivial minimal products fail to be calibrated by any globally defined smooth calibration in Euclidean spaces due to their minimal product structure.
Federer,\ \ Real flat chains, cochains and variational problems , Indiana Univ
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Cones over minimal products cannot be calibrated by smooth calibrations
Cones over non-trivial minimal products fail to be calibrated by any globally defined smooth calibration in Euclidean spaces due to their minimal product structure.