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arXiv · 1312.0183

Subspaces of Multisymplectic Vector Spaces

Albert J. Todd
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Abstract

A notion of orthogonality in multisymplectic geometry has been developed by Cantrijn, Ibort and de León 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.

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Albert J. Todd. 2013-12-01. Subspaces of Multisymplectic Vector Spaces. https://arxiv.org/abs/1312.0183

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