Examples of transversally complex submanifolds of the associative Grassmann manifold
| Autor: | Kazumi Tsukada, Kanako Enoyoshi |
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| Rok vydání: | 2019 |
| Předmět: |
transversally complex submanifolds
Pure mathematics a quaternionic Kähler manifold totally complex submanifolds Kähler manifold Space (mathematics) Mathematics::Geometric Topology Linear subspace 53B25 53C26 the associative Grassmann manifold Grassmannian Mathematics::Differential Geometry Mathematics::Symplectic Geometry Associative property Mathematics |
| Zdroj: | Tsukuba J. Math. 43, no. 1 (2019), 23-36 |
| ISSN: | 0387-4982 |
| DOI: | 10.21099/tkbjm/1571968819 |
| Popis: | We consider the Grassmann manifold of associative subspaces in the space of imaginary octonions, which we call the associative Grassmann manifold. It is known that the associative Grassmann manifold is an eight-dimensional compact symmetric quaternionic Kähler manifold. We construct interesting examples of four-dimensional complex submanifolds of the associative Grassmann manifold. |
| Databáze: | OpenAIRE |
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