Conformal immersions of complete Riemannian manifolds and extensions of the Schwarz lemma

DOI10.1215/S0012-7094-94-07411-5zbMath0813.53038MaRDI QIDQ1331696

Laurent Véron, Andrea Ratto, Marco Rigoli

Publication date: 28 May 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

conformal immersionweakly distance decreasing

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (6)

Gradient bounds and Liouville's type theorems for the Poisson equation on complete Riemannian manifolds ⋮ Quasilinear elliptic Hamilton-Jacobi equations on complete manifolds ⋮ Unnamed Item ⋮ Local and global properties of solutions of quasilinear Hamilton-Jacobi equations ⋮ A priori upper bounds of solutions satisfying a certain differential inequality on complete manifolds ⋮ Positive solutions of Yamabe type equations on complete manifolds and applications

Cites Work

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• Einstein spaces admitting a one-parameter group of conformal transformations
• Conformal transformations of compact Riemannian manifolds
• The Ahlfors-Schwarz lemma in several complex variables
• The Schwarz lemma for nonpositively curved Riemannian surfaces
• Conformal deformation of non-compact surfaces with negative curvature
• Remarks on conformal transformations
• On the Elliptic Equations Δu = K(x)u σ and Δu = K(x)e 2u
• Another Report on Harmonic Maps
• A General Schwarz Lemma for Kahler Manifolds

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