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• W1994995763 abstract "where (h) is the inverse of the matrix (hij), ∆M = ∑ i,j h ∂ij and Γ s tγ denote the Christoffel symbols of the Hermitian metric g on N . It follows from (1.1) that if u is holomorphic, then u must be harmonic. Thus, it is natural to ask under what circumstances a harmonic map is holomorphic or antiholomorphic. Under the assumption that both M and N are compact, Siu [31] demonstrated that if the curvature tensor of N is strongly negative and the rank of du is greater than or equal to four at a point of M , then a harmonic map u must be holomorphic or antiholomorphic. The proof follows from Siu’s Bochner type identity together with the compactness assumption on M . If M is a complete noncompact manifold of strongly negative curvature with infinite volume, the previous Bochner type identity technique fails and" @default.
• W1994995763 created "2016-06-24" @default.
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• W1994995763 date "2007-01-01" @default.
• W1994995763 modified "2023-09-27" @default.
• W1994995763 title "On Proper Harmonic Maps between Strictly Pseudoconvex Domains with Kahler Metrics of Bergman Type" @default.
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• W1994995763 doi "https://doi.org/10.4310/ajm.2007.v11.n2.a5" @default.
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