Green's functions on positively curved manifolds. II

DOI10.1016/0022-1236(82)90077-5zbMath0513.58040OpenAlexW4210375568MaRDI QIDQ1050688

Nicholas Th. Varopoulos

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90077-5

zbMATH Keywords

harmonic functionGaussian curvatureheat diffusion kernelnon-negative Ricci curvature

Mathematics Subject Classification ID

Heat equation (35K05) Diffusion processes and stochastic analysis on manifolds (58J65) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

A probabilistic approach to Martin boundaries for manifolds with ends ⋮ Monotonicity formulas for harmonic functions in \(\mathrm{RCD}(0,N)\) spaces ⋮ Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ A note on the existence of positive Green's function ⋮ Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

Cites Work

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• Convex functions on complete noncompact manifolds: Topological structure
• Green's functions on positively curved manifolds
• The Poisson kernel of positively curved manifolds
• Minimal varieties in Riemannian manifolds
• On complete open manifolds of positive curvature
• On the structure of complete manifolds of nonnegative curvature
• Convex functions on complete noncompact manifolds : differentiable structure
• Differential equations on riemannian manifolds and their geometric applications

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