Hamilton-Jacobi Theory in Cauchy Data Space

2014/11/14 by Cédric M. Campos, Cédirc M. Campos, Manuel de León +2 · 12 citations
Computer Science · Mathematics · Physics and Astronomy · #Cauchy distribution #Cauchy problem #Cauchy's convergence test #Current (fluid) #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Sampling theory #Space (punctuation) #Topological and Geometric Data Analysis #math-ph #math.MP

paper · pdf · doi:10.1016/s0034-4877(15)30038-0

published in Reports on Mathematical Physics 76(3), 359-387 (Elsevier BV)

arxiv created 2014/11/14 · openalex publication_date 2015/12/01 · arxiv updated 2016/02/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Recently, M. de León el al. ([9]) have developed a geometric Hamilton-Jacobi theory for Classical Field Theories in the setting of multisymplectic geometry. Our purpose in the current paper is to establish the corresponding Hamilton-Jacobi theory in the Cauchy data space, and relate both approaches.

Citations

• Geometry of multisymplectic Hamiltonian first-order field theories
• Classical field theories of first order and Lagrangian submanifolds of premultisymplectic manifolds
• MULTISYMPLECTIC AND POLYSYMPLECTIC STRUCTURES ON FIBER BUNDLES
• Lagrangian distributions and connections in multisymplectic and polysymplectic geometry