Multisymplectic geometry
Web22 dec. 2013 · We study higher-degree generalizations of symplectic groupoids, referred to as {\em multisymplectic groupoids}. Recalling that Poisson structures may be viewed as infinitesimal counterparts of symplectic groupoids, we describe "higher'' versions of Poisson structures by identifying the infinitesimal counterparts of multisymplectic groupoids. Web11 sept. 2008 · Although contact geometry and topology is briefly discussed in V I Arnol''d''s book Mathematical Methods of Classical Mechanics (Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges An Introduction to Contact Topology (Cambridge U Press, 2008).
Multisymplectic geometry
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Web22 dec. 2013 · On the geometry of multisymplectic manifolds Alberto Ibort, M. León Mathematics Journal of the Australian Mathematical Society. Series A. Pure … Webgeometry of multisymplectic structures. Recently, one of us has also pointed out the existence of multisymplectic structures on the moduli spaces of some Yang-Mills …
Web7 apr. 2024 · A well-known result in symplectic geometry, known as Marsden–Weinstein–Meyer theorem, states that the relevant geometric structure of a symplectic manifold can be studied on the level set of a... WebThis graduate-level monographic textbook treats applied differential geometry from a modern scientific perspective. Co-authored by the originator of the world's leading human motion simulator — “Human Biodynamics Engine”, a complex, 264-DOF bio-mechanical system, modeled by differential-geometric tools — this is the first book that combines …
Web14 mai 2014 · In this paper the competitive relationship between the geometric dispersion and the viscous dissipation in the wave propagation of the KdV-Burgers equation is investigated by the generalized ... (1999) Multisymplectic geometry, covariant Hamiltonians, and water waves. Mathematical Proceedings of the Cambridge … WebIn this paper we discussed the self-adjointness of the Maxwell’s equations with variable coefficients ε and μ. Three different Lagrangian are attained. By the Legendre …
Web4 aug. 2004 · Michael Forger, Sandro V. Romero We establish a link between the multisymplectic and the covariant phase space approach to geometric field theory by showing how to derive the symplectic form on the latter, as introduced by Crnkovic-Witten and Zuckerman, from the multisymplectic form.
Web2 feb. 2014 · Since multisymplectic geometry and -algebras are relevant in Theoretical Physics, and in particular in String Theory, we introduce the relevant background material in order to make the exposition accessible to non-experts, perhaps interested physicists. indian river county alsWeb13 mai 2010 · A manifold is multisymplectic, or more specifically n-plectic, if it is equipped with a closed nondegenerate differential form of degree n+1. In our previous work with … indian river county alarm permitWeb28 dec. 2024 · ABSTRACT We utilize Spin (7) identities to prove that the Cayley four-form associated with a torsion-free Spin (7)-structure is non-degenerate in the sense of multisymplectic geometry. Therefore, Spin (7) geometry may be treated as a special case of multisymplectic geometry. lochinvar heat pump electric water heaterWeb1 ian. 1997 · A Hamiltonian structure is presented, which generalizes classical Hamiltonian structure, by assigning a distinct symplectic operator for each unbounded space … indian river county animal adoptionWebA 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 … indian river county appraiserWeb1 ian. 1999 · A canonical multisymplectic (n +2)-form Ω [Hscr ] is then defined, from which we obtain a multisymplectic Hamiltonian system of differential equations … indian river county appraiser property searchWeb1 feb. 2024 · A multisymplectic structure of order k on M is defined by a (k + 1)-form ω on M which is closed and nondegenerate in the sense that. if ι v ω = 0, where v ∈ T x M for some x ∈ M, then v = 0. There is extensive literature on multisymplectic geometry. In particular, foundational aspects were addressed in [7]. Both symplectic and ... lochinvar high limit sensor