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Symplectic Yang-Mills theory, Ricci tensor, and connections
被引:2
作者
:
Habermann, Katharina
论文数:
0
引用数:
0
h-index:
0
机构:
SUB Gottingen, D-37073 Gottingen, Germany
Habermann, Katharina
Habermann, Lutz
论文数:
0
引用数:
0
h-index:
0
机构:
SUB Gottingen, D-37073 Gottingen, Germany
Habermann, Lutz
Rosenthal, Paul
论文数:
0
引用数:
0
h-index:
0
机构:
SUB Gottingen, D-37073 Gottingen, Germany
Rosenthal, Paul
机构
:
[1]
SUB Gottingen, D-37073 Gottingen, Germany
[2]
Leibniz Univ Hannover, Inst Differential Geometry, D-30167 Hannover, Germany
[3]
Univ Greifswald, Dept Math & Comp Sci, D-17487 Greifswald, Germany
来源
:
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
|
2007年
/ 30卷
/ 02期
关键词
:
D O I
:
10.1007/s00526-006-0077-2
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
A Yang-Mills theory in a purely symplectic framework is developed. The corresponding Euler-Lagrange equations are derived and first integrals are given. We relate the results to the work of Bourgeois and Cahen on preferred symplectic connections.
引用
收藏
页码:137 / 152
页数:16
相关论文
共 15 条
[1]
On the holonomy of connections with skew-symmetric torsion
Agricola, I
论文数:
0
引用数:
0
h-index:
0
机构:
Humboldt Univ, Inst Math, D-10099 Berlin, Germany
Humboldt Univ, Inst Math, D-10099 Berlin, Germany
Agricola, I
Friedrich, T
论文数:
0
引用数:
0
h-index:
0
机构:
Humboldt Univ, Inst Math, D-10099 Berlin, Germany
Humboldt Univ, Inst Math, D-10099 Berlin, Germany
Friedrich, T
[J].
MATHEMATISCHE ANNALEN,
2004,
328
(04)
: 711
-
748
[2]
Symplectic connections
Bieliavsky, Pierre
论文数:
0
引用数:
0
h-index:
0
机构:
Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
Bieliavsky, Pierre
Cahen, Michel
论文数:
0
引用数:
0
h-index:
0
机构:
Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
Cahen, Michel
Gutt, Simone
论文数:
0
引用数:
0
h-index:
0
机构:
Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
Gutt, Simone
论文数:
引用数:
h-index:
机构:
Rawnsley, John
Schwachhoefer, Lorenz
论文数:
0
引用数:
0
h-index:
0
机构:
Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
Schwachhoefer, Lorenz
[J].
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS,
2006,
3
(03)
: 375
-
420
[3]
Symplectic connections with a parallel Ricci curvature
Boubel, C
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Grenoble 1, Inst Fourier, UMR 5582, F-38402 St Martin Dheres, France
Univ Grenoble 1, Inst Fourier, UMR 5582, F-38402 St Martin Dheres, France
Boubel, C
[J].
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY,
2003,
46
: 747
-
766
[4]
A variational principle for symplectic connections
Bourgeois, F
论文数:
0
引用数:
0
h-index:
0
机构:
Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
Bourgeois, F
Cahen, M
论文数:
0
引用数:
0
h-index:
0
机构:
Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
Cahen, M
[J].
JOURNAL OF GEOMETRY AND PHYSICS,
1999,
30
(03)
: 233
-
265
[5]
BRYLINSKI JL, 1988, J DIFFER GEOM, V28, P93
[6]
CAHEN M, MATHSG0509014
[7]
CAHEN M, 2000, POISSON GEOMETRY STA, V51, P31
[8]
On the geometry of moduli spaces of symplectic structures
Fricke, J
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
Fricke, J
Habermann, L
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
Habermann, L
[J].
MANUSCRIPTA MATHEMATICA,
2002,
109
(04)
: 405
-
417
[9]
Gauduchon P, 1997, B UNIONE MAT ITAL, V11B, P257
[10]
Habermann K., 2006, LECT NOTES MATH, V1887
←
1
2
→
共 15 条
[1]
On the holonomy of connections with skew-symmetric torsion
Agricola, I
论文数:
0
引用数:
0
h-index:
0
机构:
Humboldt Univ, Inst Math, D-10099 Berlin, Germany
Humboldt Univ, Inst Math, D-10099 Berlin, Germany
Agricola, I
Friedrich, T
论文数:
0
引用数:
0
h-index:
0
机构:
Humboldt Univ, Inst Math, D-10099 Berlin, Germany
Humboldt Univ, Inst Math, D-10099 Berlin, Germany
Friedrich, T
[J].
MATHEMATISCHE ANNALEN,
2004,
328
(04)
: 711
-
748
[2]
Symplectic connections
Bieliavsky, Pierre
论文数:
0
引用数:
0
h-index:
0
机构:
Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
Bieliavsky, Pierre
Cahen, Michel
论文数:
0
引用数:
0
h-index:
0
机构:
Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
Cahen, Michel
Gutt, Simone
论文数:
0
引用数:
0
h-index:
0
机构:
Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
Gutt, Simone
论文数:
引用数:
h-index:
机构:
Rawnsley, John
Schwachhoefer, Lorenz
论文数:
0
引用数:
0
h-index:
0
机构:
Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
Schwachhoefer, Lorenz
[J].
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS,
2006,
3
(03)
: 375
-
420
[3]
Symplectic connections with a parallel Ricci curvature
Boubel, C
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Grenoble 1, Inst Fourier, UMR 5582, F-38402 St Martin Dheres, France
Univ Grenoble 1, Inst Fourier, UMR 5582, F-38402 St Martin Dheres, France
Boubel, C
[J].
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY,
2003,
46
: 747
-
766
[4]
A variational principle for symplectic connections
Bourgeois, F
论文数:
0
引用数:
0
h-index:
0
机构:
Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
Bourgeois, F
Cahen, M
论文数:
0
引用数:
0
h-index:
0
机构:
Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
Cahen, M
[J].
JOURNAL OF GEOMETRY AND PHYSICS,
1999,
30
(03)
: 233
-
265
[5]
BRYLINSKI JL, 1988, J DIFFER GEOM, V28, P93
[6]
CAHEN M, MATHSG0509014
[7]
CAHEN M, 2000, POISSON GEOMETRY STA, V51, P31
[8]
On the geometry of moduli spaces of symplectic structures
Fricke, J
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
Fricke, J
Habermann, L
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany
Habermann, L
[J].
MANUSCRIPTA MATHEMATICA,
2002,
109
(04)
: 405
-
417
[9]
Gauduchon P, 1997, B UNIONE MAT ITAL, V11B, P257
[10]
Habermann K., 2006, LECT NOTES MATH, V1887
←
1
2
→