Heat equation and compactifications of complete Riemannian manifolds

DOI10.1215/S0012-7094-84-05131-7zbMath0546.53029OpenAlexW1604021321MaRDI QIDQ797846

Peter Li, Harold Donnelly

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-84-05131-7

zbMATH Keywords

compactificationRicci curvatureoverdetermined parabolic problemball convergence criterionheat semi-grouptime at infinity

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat equation (35K05) Global Riemannian geometry, including pinching (53C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Properties at infinity of diffusion semigroups and stochastic flows via weak uniform covers, A compactification of a manifold with asymptotically nonnegative curvature, Heat equation derivative formulas for vector bundles, The heat equation and harmonic maps of complete manifolds, Heat equation for harmonic maps of the compactification of complete manifolds

Cites Work

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• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• A harnack inequality for parabolic differential equations