On Darboux theorems for geometric structures induced by closed forms

DOI10.1007/s13398-024-01632-wzbMATH Open1541.53099MaRDI QIDQ6577498

Javier de Lucas, Xavier Rivas, Narciso Román-Roy, Xavier Gràcia

Publication date: 24 July 2024

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

zbMATH Keywords

Darboux theoremflat connectionmultisymplectic manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Connections (general theory) (53C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lagrangian distributions and connections in multisymplectic and polysymplectic geometry
• On the \(k\)-symplectic, \(k\)-cosymplectic and multisymplectic formalisms of classical field theories
• Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
• The inception of symplectic geometry: The works of Lagrange and Poisson during the years 1808-1810
• Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories
• Locally conformal symplectic manifolds
• p-almost tangent structures
• A Darboux theorem for multi-symplectic manifolds
• A symplectic framework for field theories
• Manifolds, tensor analysis, and applications.
• Fedosov manifolds
• Canonical structure of classical field theory in the polymomentum phase space
• Integrable systems and closed one forms
• The constraint algorithm in the jet formalism
• Invariant forms and automorphisms of locally homogeneous multisymplectic manifolds
• Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework
• The polysymplectic Hamiltonian formalism in field theory and calculus of variations. I: The local case
• An invitation to multisymplectic geometry
• On the existence of a connection with curvature zero
• The Hamilton-Cartan formalism in the calculus of variations
• On cosymplectic dynamics. I.
• Covariant field theory on frame bundles of fibered manifolds
• k-cosymplectic manifolds and Lagrangian field theories
• MULTISYMPLECTIC AND POLYSYMPLECTIC STRUCTURES ON FIBER BUNDLES
• Introduction to Smooth Manifolds
• CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES
• Gradient vector fields on cosymplectic manifolds
• Almost-Riemannian Structures on Banach Manifolds: The Morse Lemma and the Darboux Theorem
• Hamiltonian systems on k-cosymplectic manifolds
• The constraint algorithm for time-dependent Lagrangians
• k-symplectic structures
• An Introduction to Contact Topology
• Some geometric structures associated with ak-symplectic manifold
• SYMPLECTIC CONNECTIONS
• Darboux's Theorem Fails for Weak Symplectic Forms
• Lectures on symplectic geometry

Related Items (1)

Quasi-rectifiable Lie algebras for partial differential equations

This page was built for publication: On Darboux theorems for geometric structures induced by closed forms