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Harmonic maps between compact Hermitian manifolds

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Publication:1042832
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DOI10.1007/s11425-008-0099-7zbMath1183.58012arXiv1011.0207OpenAlexW2076708314MaRDI QIDQ1042832

Xiao Kui Yang, Ke Feng Liu

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0207

zbMATH Keywords

harmonic mapholomorphic mapBochner-Kodiara formulaHermitian complex vector bundle


Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Holomorphic maps on manifolds (58C10) Vanishing theorems (32L20)


Related Items

GEOMETRY OF HERMITIAN MANIFOLDS



Cites Work

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  • The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
  • A vanishing theorem for semipositive line bundles over non-Kähler manifolds
  • Vanishing theorems on complex manifolds
  • Compact Kähler manifolds of positive bisectional curvature
  • Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
  • A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
  • Geometric superrigidity
  • A Report on Harmonic Maps
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