Symplectic decomposition of symplectic subspaces

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Ewha Womans University)

Lee, Jae-Hyouk. (2015). SYMPLECTIC DECOMPOSITION OF SYMPLECTIC SUBSPACES. 한국수학교육학회지시리즈B:순수및응용수학, 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

참고문헌

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

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

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논문 상세

Vol.22 No.1

SYMPLECTIC DECOMPOSITION OF SYMPLECTIC SUBSPACES

Symplectic decomposition of symplectic subspaces

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학