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math.DG2021
On the weighted orthogonal Ricci curvature
Kyle Broder, Kai Tang
We introduce the weighted orthogonal Ricci curvature -- a two-parameter version of Ni--Zheng's orthogonal Ricci curvature. This curvature serves as a very natural object in the stu…
math.HO2021★ 8 cited
The Schwarz Lemma: An Odyssey
Kyle Broder
Expository notes on the Schwarz lemma born out of some lectures given on the subject.
math.DG2021★ 1 cited
The Schwarz lemma in Kähler and non-Kähler geometry
Kyle Broder
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 t…