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- W63527900 abstract "This paper generalizes a result from Chen, Cheng and Lu [1] and improves a result from Yau [2]. Let M be a complete Hermitian manifold whose holomorphic sectional curvature is bounded from below by k1 (or whose second Ricci curvature is bounded from below by R 1 T ). Let N be a Hermitian manifold whose holomorphic sectional curvature is bounded from above by k2 < 0. We shall prove that if f: M → N is a holomorphic mapping and some conditions on the curvature and torsion of M and N are given, then $$ begin{gathered} f^* ds_N^2 leqslant ,frac{{k_1 }} {{k_2 }}ds_M^2 hfill ({text{or}}quad ,{text{f}}^{text{*}} {text{ds}}_{text{N}}^{text{2}} leqslant ,frac{{{text{R}}_{text{1}}^{text{T}} }} {{{text{k}}_{text{2}} }}{text{ds}}_{text{M}}^{text{2}} ). hfill end{gathered} $$" @default.
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- W63527900 date "1984-01-01" @default.
- W63527900 modified "2023-10-16" @default.
- W63527900 title "On the Schwarz Lemma for Complete Hermitian Manifolds" @default.
- W63527900 cites W2026820654 @default.
- W63527900 doi "https://doi.org/10.1007/978-1-4612-5296-2_12" @default.
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