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Title: Remarks on Hamiltonian structures in G{sub 2}-geometry

In this article, we treat G{sub 2}-geometry as a special case of multisymplectic geometry and make a number of remarks regarding Hamiltonian multivector fields and Hamiltonian differential forms on manifolds with an integrable G{sub 2}-structure; in particular, we discuss existence and make a number of identifications of the spaces of Hamiltonian structures associated to the two multisymplectic structures associated to an integrable G{sub 2}-structure. Along the way, we prove some results in multisymplectic geometry that are generalizations of results from symplectic geometry.
Authors:
;  [1] ;  [2]
  1. Department of Mathematics, University of Rochester, Rochester, New York 14627 (United States)
  2. Department of Mathematics, University of California-Riverside, Riverside, California 92521 (United States)
Publication Date:
OSTI Identifier:
22251786
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GEOMETRY; HAMILTONIANS; SPACE; VECTOR FIELDS