Distance and Volume Decreasing Theorems for Quasiconformal Mappings

DOI10.2307/2043900zbMath0509.30015OpenAlexW4240203536MaRDI QIDQ4748403

Nicholas C. Petridis

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043900

zbMATH Keywords

scalar curvatureRicci curvatureharmonic mappingsn-dimensional Riemannian manifoldSchwarz-Ahlfors lemmaSchwarz-Pick's theorem

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Invariant metrics and pseudodistances in several complex variables (32F45) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• Mappings of bounded dilatation of Riemannian manifolds
• Characteristic classes of Hermitian manifolds
• A General Schwarz Lemma for Kahler Manifolds
• On the Volume Decreasing Property of a Class of Real Harmonic Mappings
• A Generalization of the Little Theorem of Picard
• Harmonic quasiconformal mappings of Riemannian manifolds
• Harmonic Mappings of Riemannian Manifolds

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