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Vortex equation in holomorphic line bundle over complex manifold |
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| Authors: | Pan Liu Chunqing Yao |
| Affiliation: | a Department of Mathematics, East China Normal University, Shanghai 200062, PR China b Department of Mathematics, Southwest Normal University, Chongqing 400715, PR China |
| Abstract: | In this note we study the vortex equation in holomorphic line bundle over non-Kähler complex manifolds. We prove a existence theorem to that equation by means of the upper and lower solution method to some Kazdan-Warner type equation. |
| Keywords: | Complex manifold Holomorphic line bundle Vortex equation |
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