Kyle Broder

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20222025

most citedA general Schwarz lemma for Hermitian manifolds

1 citations · 1 across the 4 of their papers we have counts for

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math.DG2023★ 1 cited

A general Schwarz lemma for Hermitian manifolds

Kyle Broder, James Stanfield

The Schwarz lemma for holomorphic maps between Hermitian manifolds is improved. New curvature constraints on the source and target manifolds are introduced and shown to be weaker t…

math.DG2023

Some Remarks on the Wu--Yau Theorem

Kyle Broder

The Wu--Yau theorem asserts that a compact Kähler manifold with negative holomorphic sectional curvature admits a cohomologous metric with negative Ricci curvature. We introduce a…

math.DG2023

$(ε, δ)$ --Quasi-Negative Curvature and Positivity of the Canonical Bundle

Kyle Broder, Kai Tang

A recent theorem of Diverio--Trapani and Wu--Yau asserts that a compact Kähler manifold with a Kähler metric of quasi-negative holomorphic sectional curvature is projective and can…

A general Schwarz lemma for Hermitian manifolds

Some Remarks on the Wu--Yau Theorem

(ε,δ)--Quasi-Negative Curvature and Positivity of the Canonical Bundle

$(ε, δ)$ --Quasi-Negative Curvature and Positivity of the Canonical Bundle