Subspaces of Multisymplectic Vector Spaces
Symplectic Geometry
2013-12-03 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
A notion of orthogonality in multisymplectic geometry has been developed by Cantrijn, Ibort and de Le\'on and used by many authors. In this paper, we review this concept and propose a new type of orthogonality in multisymplectic geometry; we prove a number of results regarding this orthogonality and its associated subspaces. We end by calculating the various subspaces of a G_2-vector space based on both types of orthogonality.
Cite
@article{arxiv.1312.0183,
title = {Subspaces of Multisymplectic Vector Spaces},
author = {Albert J. Todd},
journal= {arXiv preprint arXiv:1312.0183},
year = {2013}
}
Comments
LaTeX2e; 13 pages