Subspaces of Multisymplectic Vector Spaces

Autor:	Todd, Albert J.
Rok vydání:	2013
Předmět:	Mathematics - Symplectic Geometry Mathematical Physics Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: LaTeX2e; 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.0183 Zobrazit plný text záznamu View this record from Arxiv