The heat flows and harmonic maps of complete noncompact Riemannian manifolds

DOI10.1007/BF02571650zbMath0789.58027WikidataQ115391985 ScholiaQ115391985MaRDI QIDQ1319282

Jiayu Li

Publication date: 12 April 1994

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

Full work available at URL: https://eudml.org/doc/174479

zbMATH Keywords

convergenceharmonic mapsheat flow

Mathematics Subject Classification ID

Heat equation (35K05) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items (9)

Gradient estimates and Liouville theorems for Dirac-harmonic maps ⋮ The heat flow of $V$-harmonic maps from complete manifolds into regular balls ⋮ The heat flow of harmonic maps from noncompact manifolds ⋮ Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds ⋮ Harmonic maps with potential from complete manifolds ⋮ The heat flow and harmonic maps between complete manifolds ⋮ The harmonic map heat flow on conic manifolds ⋮ Hitchin's self-duality equations on complete Riemannian manifolds ⋮ The heat flows and harmonic maps from complete manifolds into regular balls

Cites Work

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• Function theory on manifolds which possess a pole
• Compact group actions and the topology of manifolds with non-positive curvature
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
• Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds
• On Harnack's theorem for elliptic differential equations
• A harnack inequality for parabolic differential equations
• Harmonic Mappings of Riemannian Manifolds

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