Tsukuba Journal of Mathematics
- Tsukuba J. Math.
- Volume 43, Number 1 (2019), 23-36.
Examples of transversally complex submanifolds of the associative Grassmann manifold
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.
Tsukuba J. Math., Volume 43, Number 1 (2019), 23-36.
First available in Project Euclid: 25 October 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Primary: 53C26: Hyper-Kähler and quaternionic Kähler geometry, "special" geometry
Secondary: 53B25: Local submanifolds [See also 53C40]
Enoyoshi, Kanako; Tsukada, Kazumi. Examples of transversally complex submanifolds of the associative Grassmann manifold. Tsukuba J. Math. 43 (2019), no. 1, 23--36. doi:10.21099/tkbjm/1571968819. https://projecteuclid.org/euclid.tkbjm/1571968819