Author:
Cantrijn F.,Ibort A.,De León M.
Abstract
AbstractA multisymplectic structure on a manifold is defined by a closed differential form with zero characteristic distribution. Starting from the linear case, some of the basic properties of multisymplectic structures are described. Various examples of multisymplectic manifolds are considered, and special attention is paid to the canonical multisymplectic structure living on a bundle of exterior k-forms on a manifold. For a class of multisymplectic manifolds admitting a ‘Lagrangian’ fibration, a general structure theorem is given which, in particular, leads to a classification of these manifolds in terms of a prescribed family of cohomology classes.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference37 articles.
1. The geometry of moduli spaces of Yang-Mills theories in dimension 3 and 4;Ibort;An. de Fisica, Monografias RSEF,1995
2. [12] Gotay M. , Isenberg J. , Marsden J. E. and Montgomery R. , ‘Momentum mappings and the Hamiltonian structure of classical field theories with constraints’, Technical report.
3. Symplectic approach to the theory of quantized fields. II
4. Sur les singularités des formes différentielles
Cited by
104 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献