Geodesic
Coupled Vortex Equations on Complete Kähler Manifolds
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 467-480

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In this paper, we first investigate the Dirichlet problem for coupled vortex equations. Secondly, we give existence results for solutions of the coupled vortex equations on a class of complete noncompact Kähler manifolds which include simply-connected strictly negative curved manifolds, Hermitian symmetric spaces of noncompact type and strictly pseudo-convex domains equipped with the Bergmann metric.
DOI : 10.4153/CMB-2008-047-0
Mots-clés : 58J05, 53C07 
Wang, Yue. Coupled Vortex Equations on Complete Kähler Manifolds. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 467-480. doi: 10.4153/CMB-2008-047-0
@article{10_4153_CMB_2008_047_0,
     author = {Wang, Yue},
     title = {Coupled {Vortex} {Equations} on {Complete} {K\"ahler} {Manifolds}},
     journal = {Canadian mathematical bulletin},
     pages = {467--480},
     year = {2008},
     volume = {51},
     number = {3},
     doi = {10.4153/CMB-2008-047-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-047-0/}
}
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