Rigidity theorems for special Lagrangian cones
In this paper, we derive that every n -dimensional ( 2 ≤ n ≤ 7 ) special Lagrangian cones in R n × R n with flat normal bundle must be flat. And we also derive a rigidity result under a certain restriction on Gauss map.
Gespeichert in:
| Veröffentlicht in: | Mathematische Zeitschrift 2021-04, Vol.297 (3-4), p.1613-1621 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this paper, we derive that every
n
-dimensional (
2
≤
n
≤
7
) special Lagrangian cones in
R
n
×
R
n
with flat normal bundle must be flat. And we also derive a rigidity result under a certain restriction on Gauss map. |
|---|---|
| ISSN: | 0025-5874 1432-1823 |
| DOI: | 10.1007/s00209-020-02570-0 |