The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem

被引：1
作者：
Schiavone, L. [1 ]
机构：
[1] Univ Carlos III Madrid Leganes, Dept Matemat, Madrid, Spain
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2024年 / 21卷 / 11期
关键词：
Inverse problem; symplectic geometry; coisotropic embeddings; implicit differential equations; gauge theories; CALCULUS; GEOMETRY;
D O I：
10.1142/S0219887824501950
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We carry on the approach used in [L. Schiavone, The inverse problem within free Electrodynamics and the coisotropic embedding theorem, Inter. J. Geom. Meth. Mod. Phys. 21(7) (2024) 2450131] to provide a solution for the inverse problem of the calculus of variations for Maxwell equations in vacuum and we provide an abstract theory including all implicit differential equations that can be formulated in terms of vector fields over pre-symplectic manifolds.
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页数：9
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