The geometry of the bundle of connections

被引：40

作者：

López, MC ^{[1
]}

Masqué, JM ^{[1
]}

机构：

[1] CSIC, Inst Fis Aplicada, Madrid, Spain

来源：

MATHEMATISCHE ZEITSCHRIFT | 2001年 / 236卷 / 04期

关键词：

D O I：

10.1007/PL00004852

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized symplectic structure on the bundle of connections p: C(P) --> M of an arbitrary principal G-bundle pi: P --> M is defined by means of a p*adP-valued differential 2-form Omega (2) on C(P), which is related to the generalized contact structure on J(1) (P). The Hamiltonian properties of Omega (2) are also analyzed.

引用

页码：797 / 811

页数：15

共 14 条

[11]

Kobayashi S., 1969, Foundation of differential geometry, VII

[12]

Kobayashi S., 1963, Foundations of differential geometry, VI

[13] Generalized symplectic structure on the bundle of connections [J].

López, MC ;

Masqué, JM .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (01) :41-44

[14] ON THE BUNDLE OF CONNECTIONS AND THE GAUGE ORBIT MANIFOLD IN YANG-MILLS THEORY [J].

MITTER, PK ;

VIALLET, CM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (04) :457-472

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