Liouville-type theorems for subharmonic functions on complete manifolds

DOI10.1007/BF02594895zbMath0754.53033MaRDI QIDQ3987759

Yi-Bing Shen

Publication date: 28 June 1992

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

Ricci curvature tensorstrongly parabolic

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (2)

An Omori-Yau maximum principle for semi-elliptic operators and Liouville-type theorems ⋮ On the maximum principle on complete Finsler manifolds

Cites Work

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• Function theory on manifolds which possess a pole
• On subharmonic functions and differential geometry in the large
• Remarks on hypersurfaces with constant mean curvature in a higher dimensional pseudo-sphere
• Subharmonic functions on real and complex manifolds
• Isometric immersions of Riemannian manifolds
• Conformally Flat Spaces and a Pinching Problem on the Ricci Tensor
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Scalar Curvature, Inequality and Submanifold
• Harmonic Mappings of Riemannian Manifolds

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