Green's functions on positively curved manifolds

DOI10.1016/0022-1236(82)90007-6zbMath0497.58020OpenAlexW2150897356MaRDI QIDQ1170810

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)90007-6

zbMATH Keywords

Green's functionheat diffusion kernelcomplete connected Riemannian manifold with nonnegative Ricci curvaturecomplete Riemannian manifold with a pole and nonnegative Gaussian 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 (7)

On the parabolic kernel of the Schrödinger operator ⋮ Geometrical and topological aspects of electrostatics on Riemannian manifolds ⋮ Scaling limit for a second-order particle system with local annihilation ⋮ Baryonic branches and resolutions of Ricci-flat Kähler cones ⋮ Volume growth, Green's functions, and parabolicity of ends ⋮ A note on the existence of positive Green's function ⋮ Green's functions on positively curved manifolds. II

Cites Work

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• Function theory on manifolds which possess a pole
• Integrals of subharmonic functions on manifolds of nonnegative curvature
• On the heat kernel of a complete Riemannian manifold
• The Poisson kernel of positively curved manifolds
• On complete open manifolds of positive curvature
• On the structure of complete manifolds of nonnegative curvature
• Quelques propriétés globales des espaces de Riemann
• Harmonic functions on complete riemannian manifolds

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