Symplectic Yang–Mills theory,Ricci tensor,and connections |
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Authors: | Katharina Habermann Lutz Habermann Paul Rosenthal |
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Affiliation: | 1.SUB G?ttingen,G?ttingen,Germany;2.Institute of Differential Geometry,University of Hannover,Hannover,Germany;3.Department of Mathematics and Computer Science,University of Greifswald,Greifswald,Germany |
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Abstract: | ![]() 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. |
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Keywords: | 53D05 53C05 58E30 58E15 |
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