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Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems. (English) Zbl 0497.32025


MSC:

32L20 Vanishing theorems
32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
53C55 Global differential geometry of Hermitian and Kählerian manifolds
53B35 Local differential geometry of Hermitian and Kählerian structures
58B12 Questions of holomorphy and infinite-dimensional manifolds
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
32F10 \(q\)-convexity, \(q\)-concavity
32U05 Plurisubharmonic functions and generalizations
32W05 \(\overline\partial\) and \(\overline\partial\)-Neumann operators
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