8 citations · 17 across the 6 of their papers we have counts for
6 papers
Remarks on the Quadratic Orthogonal Bisectional Curvature
Kyle Broder
We exhibit a curious link between the Quadratic Orthogonal Bisectional Curvature, combinatorics, and distance geometry. The Weitzenböck curvature operator, acting on real (1,1)--fo…
On Hermitian manifolds with vanishing curvature
Kyle Broder, Kai Tang
We show that Hermitian metrics with vanishing holomorphic curvature on compact complex manifolds with pseudoeffective canonical bundle are conformally balanced. Pluriclosed metrics…
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…
The Schwarz Lemma: An Odyssey
Kyle Broder
Expository notes on the Schwarz lemma born out of some lectures given on the subject.
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…
Twisted Kähler-Einstein Metrics and Collapsing
Kyle Broder
We extend the arguments of Tosatti-Zhang to reduce a well-known conjecture concerning the structure of the Gromov-Hausdorff limit in both the setting of degenerating Calabi-Yau man…