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ISSN : 1226-0657

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Vol.22 No.1
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Symplectic decomposition of symplectic subspaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.1, pp.13-23
https://doi.org/10.7468/jksmeb.2015.22.1.13
Lee, Jae-Hyouk
Lee,, J. (2015). Symplectic decomposition of symplectic subspaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(1), 13-23, https://doi.org/10.7468/jksmeb.2015.22.1.13
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Abstract

We introduce a decomposition on a symplectic subspace determined by symplectic structure and study its properties. As a consequence, we give an elementary proof of the deformation of the Grassmannians of symplectic subspaces to the complex Grassmannians.

keywords
symplectic subspace, symplectic decomposition, symplectic Grassmannian

Reference

1.

Harvey, R;Lawson, B;. (1982). Calibrated geometries. Acta Math., 148, 47-157. 10.1007/BF02392726.

2.

Lee, J-H;Leung, N.C;. (2011). Grassmannians of symplectic subspaces. Manuscripta Math., 136(3-4), 383-410. 10.1007/s00229-011-0448-7.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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