Cones over minimal products cannot be calibrated by smooth calibrations
Differential Geometry
2026-04-28 v2
Abstract
We extend a key result in [Zha26], by establishing the obstruction that the minimal product structure (for minimal submanifolds or stationary currents in spheres) automatically makes all cones over (non-trivial) minimal products fail to be calibrated by any global defined smooth calibration in Euclidean spaces.
Keywords
Cite
@article{arxiv.2604.16169,
title = {Cones over minimal products cannot be calibrated by smooth calibrations},
author = {Yongsheng Zhang},
journal= {arXiv preprint arXiv:2604.16169},
year = {2026}
}
Comments
13 pages, 1 figure