The Schwarz lemma in K\"ahler and non-K\"ahler geometry
Abstract
We introduce two new curvatures which refine and elucidate the real bisectional curvature considered by Yang-Zheng YangZheng. A unified perspective of the various forms of the Schwarz lemma is given, leading to novel Chern-Lu, Aubin-Yau, and Chen-Cheng-Look Schwarz lemmas in both the K\"ahler and Hermitian category.
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