| Autor: |
Kanako Enoyoshi, Kazumi Tsukada |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Kodai Math. J. 43, no. 1 (2020), 170-192 |
| Popis: |
We focus on Lagrangian submanifolds of a six-dimensional sphere in the space Im $\mathbf {O}$ of imaginary octonions and study the relationship of such submanifolds with the geometry of the associative Grassmann manifold $\widetilde{{\rm Gr}}_{ass}$(Im $\mathbf {O}$) which is the Grassmann manifold of associative subspaces in Im $\mathbf {O}$. Considering the Gauss maps into $\widetilde{{\rm Gr}}_{ass}$(Im $\mathbf {O}$) associated to Lagrangian submanifolds, we show that those maps are harmonic. Moreover, the Gauss maps associated to homogeneous Lagrangian submanifolds are investigated. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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