Harmonic maps from Riemann surfaces into complex Finsler manifolds

DOI10.1142/S0129167X15410104zbMath1336.58008OpenAlexW2141241944MaRDI QIDQ5265253

Seiki Nishikawa

Publication date: 23 July 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x15410104

zbMATH Keywords

harmonic mapcomplex Finsler metricweakly Kähler Finsler metric\(\bar\partial\)-energy functional

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Cites Work

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• Conformally invariant variational integrals and the removability of isolated singularities
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• Compact Kähler manifolds of positive bisectional curvature
• Continuity of certain Nemitsky operators on Sobolov spaces and the chain rule
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Generalized Metrics on Complex Manifolds
• A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral
• Harmonic Mappings of Riemannian Manifolds

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