The minimality of determinantal varieties
The determinantal variety is defined to be the set of all real matrices with whose ranks are strictly smaller than . It is proved that is a minimal cone in and all its strata are regular minimal submanifolds.
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| Veröffentlicht in: | Journal für die reine und angewandte Mathematik 2021-04, Vol.2021 (773), p.153-164 |
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| container_end_page | 164 |
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| container_issue | 773 |
| container_start_page | 153 |
| container_title | Journal für die reine und angewandte Mathematik |
| container_volume | 2021 |
| creator | Bordemann, Martin Choe, Jaigyoung Hoppe, Jens |
| description | The determinantal variety
is defined to be the set of all
real matrices with
whose ranks are strictly smaller than
. It is proved that
is a minimal cone in
and all its strata are regular minimal submanifolds. |
| doi_str_mv | 10.1515/crelle-2020-0041 |
| format | Article |
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real matrices with
whose ranks are strictly smaller than
. It is proved that
is a minimal cone in
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real matrices with
whose ranks are strictly smaller than
. It is proved that
is a minimal cone in
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| ispartof | Journal für die reine und angewandte Mathematik, 2021-04, Vol.2021 (773), p.153-164 |
| issn | 0075-4102 1435-5345 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_03716979v1 |
| source | De Gruyter journals |
| subjects | Differential Geometry Mathematics |
| title | The minimality of determinantal varieties |
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