Lagrangian distributions and connections in multisymplectic and polysymplectic geometry

DOI10.1016/j.difgeo.2013.09.004zbMath1279.53076arXiv1202.5054OpenAlexW3103703577WikidataQ115356503 ScholiaQ115356503MaRDI QIDQ386021

Sandra Z. Yepes, Michael Forger

Publication date: 13 December 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5054

zbMATH Keywords

fiber bundleBott connectionLagrangian foliationpoly- and multisymplectic structures

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

Metastring theory and modular space-time, Generalised kinematics for double field theory, Hamilton-Jacobi theory in Cauchy data space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Basics of Lagrangian foliations
• Symplectic manifolds with Lagrangian fibration
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• Fedosov manifolds
• On the multisymplectic formalism for first order field theories
• A simple geometrical construction of deformation quantization
• Covariant Poisson brackets in geometric field theory
• The geometry of a bi-Lagrangian manifold
• Symplectic manifolds and their Lagrangian submanifolds
• The canonical connection of a bi-Lagrangian manifold
• MULTISYMPLECTIC AND POLYSYMPLECTIC STRUCTURES ON FIBER BUNDLES
• SYMPLECTIC CONNECTIONS