Siu, Yum-Tong Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems. (English) Zbl 0497.32025 J. Differ. Geom. 17, 55-138 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 62 Documents 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 Keywords:complex-analyticity of harmonic maps; vanishing theorems; harmonic maps between Kaehler manifolds; holomorphicity of harmonic maps; Lefschetz theorems; Hermitian bundle; negative tangent bundle; compact quotient of bounded symmetric domain; strongly hyper-q-convex boundary PDF BibTeX XML Cite \textit{Y.-T. Siu}, J. Differ. Geom. 17, 55--138 (1982; Zbl 0497.32025) Full Text: DOI OpenURL