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arXiv · 2109.06331

The Schwarz lemma in K\"ahler and non-K\"ahler geometry

Kyle Broder
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Abstract

We introduce two new curvatures which refine and elucidate the real bisectional curvature considered by Yang-Zheng \cite{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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Kyle Broder. 2021-09-13. The Schwarz lemma in K\"ahler and non-K\"ahler geometry. https://arxiv.org/abs/2109.06331

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