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July 2019 Examples of transversally complex submanifolds of the associative Grassmann manifold
Kanako Enoyoshi, Kazumi Tsukada
Tsukuba J. Math. 43(1): 23-36 (July 2019). DOI: 10.21099/tkbjm/1571968819

Abstract

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.

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Kanako Enoyoshi. Kazumi Tsukada. "Examples of transversally complex submanifolds of the associative Grassmann manifold." Tsukuba J. Math. 43 (1) 23 - 36, July 2019. https://doi.org/10.21099/tkbjm/1571968819

Information

Published: July 2019
First available in Project Euclid: 25 October 2019

zbMATH: 07196523
MathSciNet: MR4023312
Digital Object Identifier: 10.21099/tkbjm/1571968819

Subjects:
Primary: 53C26
Secondary: 53B25

Rights: Copyright © 2019 University of Tsukuba, Institute of Mathematics

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Vol.43 • No. 1 • July 2019
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