An elliptic non-linear equation on a Riemann surface

DOI10.1016/j.difgeo.2007.02.006zbMath1210.35046OpenAlexW2033199431WikidataQ115357769 ScholiaQ115357769MaRDI QIDQ2384563

Alexandre C. Gonçalves

Publication date: 10 October 2007

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2007.02.006

zbMATH Keywords

Chern classesgauge theoryelliptic operatorslocal convexity

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Analytical consequences of geometric convexity (vanishing theorems, etc.) (32F32)

Cites Work

• Infinite determinants, stable bundles and curvature
• Higher cohomology triples and holomorphic extensions
• Curvature functions for compact 2-manifolds
• Riemannian structures of prescribed Gaussian curvature for compact 2- manifolds
• The generalized Minkowski problem in differential geometry in the large
• Vortices in holomorphic line bundles over closed Kähler manifolds
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• A Direct Existence Proof for the Vortex Equations Over a Compact Riemann Surface
• On the existence of hermitian-yang-mills connections in stable vector bundles
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