[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2015.22.1.13

SYMPLECTIC DECOMPOSITION OF SYMPLECTIC SUBSPACES

Lee, Jae-Hyouk (Department of Mathematics, Ewha Womans University)

Publication Information

The Pure and Applied Mathematics / v.22, no.1, 2015 , pp. 13-23 More about this Journal

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;

Citations & Related Records

Reference

1	R. Harvey& B. Lawson: Calibrated geometries. Acta Math. 148 (1982), 47-157. DOI
2	J-H. Lee & N.C. Leung: Grassmannians of symplectic subspaces. Manuscripta Math. 136 (2011), no. 3-4, 383-410. DOI