The minimality of determinantal varieties

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal für die reine und angewandte Mathematik 2021-04, Vol.2021 (773), p.153-164
Hauptverfasser: Bordemann, Martin, Choe, Jaigyoung, Hoppe, Jens
Format: Artikel
Sprache:eng
Schlagworte:
Differential Geometry
Mathematics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0075-4102
1435-5345
DOI:10.1515/crelle-2020-0041