Geometric Hamilton-Jacobi Field Theory

Abstract

I briefly review my proposal about how to extend the geometric Hamilton-Jacobi theory to higher derivative field theories on fiber bundles.

9 Pages, contains material presented at the workshop FunInGeo, 08-12 June 2011, Ischia (NA) Italy, In honour of Giuseppe Marmos's 65th birthday. No proofs

References in corpus (5)

• Geometric Hamilton-Jacobi Theory for Nonholonomic Dynamical Systems
• The Lagrangian-Hamiltonian Formalism for Higher Order Field Theories
• Unambiguous Formalism for Higher-Order Lagrangian Field Theories
• The Hamilton-Jacobi Formalism for Higher Order Field Theories
• Hamilton-Jacobi Diffieties

Cited by in corpus (9)

• Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
• Characteristics, Bicharacteristics, and Geometric Singularities of Solutions of PDEs
• Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems
• Tulczyjew Triples in Higher Derivative Field Theory
• Geometric Hamilton-Jacobi theory for systems with external forces
• Structural aspects of Hamilton-Jacobi theory
• Hamilton-Jacobi theory in multisymplectic classical field theories
• Hamilton-Jacobi theory for gauge field theories
• An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications