Vortex equation in holomorphic line bundle over complex manifold

DOI10.1016/j.jmaa.2005.02.045zbMath1080.58019OpenAlexW1988580571MaRDI QIDQ2568966

Chunqing Yao, Pan Liu

Publication date: 17 October 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.02.045

zbMATH Keywords

complex manifoldholomorphic line bundlevortex equation

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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Prescribing Chern scalar curvatures on noncompact manifolds ⋮ Prescribed Chern scalar curvatures on compact Hermitian manifolds with negative Gauduchon degree

Cites Work

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• Special metrics and stability for holomorphic bundles with global sections
• Curvature functions for compact 2-manifolds
• Stable and unitary vector bundles on a compact Riemann surface
• Vortices in holomorphic line bundles over closed Kähler manifolds
• Transformation groups and bifurcation at multiple eigenvalues
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• On the existence of hermitian-yang-mills connections in stable vector bundles

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