HAMILTON-JACOBI THEORY IN CAUCHY DATA SPACE

被引：14

作者：

Campos, Cedric M. ^{[1
,2
,3
]}

de Leon, Manuel ^{[4
]}

Martin de Diego, David ^{[4
]}

Vaquero, Miguel ^{[4
]}

机构：

[1] Dept Matemat Aplicada, Valladolid 47011, Spain

[2] IMUVA, Valladolid 47011, Spain

[3] UVA, Fac Ciencias, Valladolid 47011, Spain

[4] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid 28049, Spain

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2015年 / 76卷 / 03期

关键词：

multisymplectic field theory; Hamilton-Jacobi theory; Cauchy surface; Cauchy data space; covariant formalism; CLASSICAL FIELD-THEORIES; GEOMETRY; SYMMETRIES; 1ST-ORDER; MANIFOLDS;

D O I：

10.1016/S0034-4877(15)30038-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently, M. de Leon et al. [8] have developed a geometric Hamilton-Jacobi theory for classical fields 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.

引用

页码：359 / 387

页数：29

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