Harmonic functions on connected sums of manifolds

DOI10.1007/BF02571431zbMath0764.53037OpenAlexW2083180060MaRDI QIDQ1202424

Luen-Fai Tam

Publication date: 2 February 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174444

zbMATH Keywords

Ricci curvaturelinear growth harmonic functions

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items

Solutions of elliptic equations on manifolds with roughly Euclidean ends, Harmonic functions under quasi-isometry

Cites Work

• Bounded harmonic functions and positive Ricci curvature
• On the parabolic kernel of the Schrödinger operator
• Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set
• Linear growth harmonic functions on a complete manifold
• Complete surfaces with finite total curvature
• Harmonic functions and the structure of complete manifolds
• The splitting theorem for manifolds of nonnegative Ricci curvature
• On the structure of complete manifolds of nonnegative curvature
• On Complete Manifolds With Nonnegative Ricci Curvature
• Symmetric Green's Functions on Complete Manifolds
• Differential equations on riemannian manifolds and their geometric applications