The Schwarz lemma: an odyssey

DOI10.1216/rmj.2022.52.1141zbMath1504.30029arXiv2110.04989OpenAlexW4312205433WikidataQ124993668 ScholiaQ124993668MaRDI QIDQ2080663

Kyle Broder

Publication date: 10 October 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04989

zbMATH Keywords

Schwarz lemmaholomorphic sectional curvaturecurvature of Hermitian manifoldsreal bisectional curvatureSchwarz bisectional curvatures

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02)

Related Items (5)

Second-order estimates for collapsed limits of Ricci-flat Kähler metrics ⋮ On the weighted orthogonal Ricci curvature ⋮ On the Gauduchon curvature of Hermitian manifolds ⋮ Schwarz lemma for real harmonic functions onto surfaces with non-negative Gaussian curvature ⋮ Recent developments on Oka manifolds

Cites Work

• Negative holomorphic curvature and positive canonical bundle
• The convergence of circle packings to the Riemann mapping
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• Pseudo holomorphic curves in symplectic manifolds
• Schwarz's lemma for circle packings
• Projective manifolds with ample tangent bundles
• Compact Kähler manifolds of positive bisectional curvature
• The Ahlfors-Schwarz lemma in several complex variables
• The Schwarz-Pick lemma for circle packings
• Holomorphic curves in symplectic geometry
• An extension of a theorem of Wu-Yau
• On curvature tensors of Hermitian manifolds
• RC-positivity, rational connectedness and Yau's conjecture
• On the convergence of circle packings to the Riemann map
• Isometric immersions of Riemannian manifolds
• Holomorphic bisectional curvature
• Schwarz type lemmas for pseudo-Hermitian manifolds
• Smooth and Singular Kähler–Einstein Metrics
• A General Schwarz Lemma for Kahler Manifolds
• Harmonic functions on complete riemannian manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On real bisectional curvature for Hermitian manifolds
• Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds
• Complex Manifolds With Negative Curvature Operator
• The Wu–Yau theorem on Sasakian manifolds
• Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
• Harmonic Mappings of Riemannian Manifolds
• Kähler-Einstein metrics with edge singularities
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