Coupled Vortex Equations on Complete Kähler Manifolds

• Autores: Yue Wang
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 51, Nº 3, 2008, págs. 467-480
• Idioma: inglés
• DOI: 10.4153/cmb-2008-047-0
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• Resumen

  • 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.