Kyle Broder

most citedA general Schwarz lemma for Hermitian manifolds

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math.DG2025

Vanishing theorems for Hodge numbers and the Calabi curvature operator

Kyle Broder, Jan Nienhaus, Peter Petersen +2

It is shown that a compact $n$ -dimensional Kähler manifold with $\frac{n}{2}$ -positive Calabi curvature operator has the rational cohomology of complex projective space. For even $…

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…