Cones over minimal products cannot be calibrated by smooth calibrations
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910165403435008 |
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| author | Zhang, Yongsheng |
| author_facet | Zhang, Yongsheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16169 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cones over minimal products cannot be calibrated by smooth calibrations Zhang, Yongsheng Differential Geometry 53C38 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. |
| title | Cones over minimal products cannot be calibrated by smooth calibrations |
| topic | Differential Geometry 53C38 |
| url | https://arxiv.org/abs/2604.16169 |