The heat flow and harmonic maps between complete manifolds

DOI10.1007/BF02921799zbMath1001.58011OpenAlexW2143684112MaRDI QIDQ1568954

Jiaping Wang

Publication date: 22 June 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921799

zbMATH Keywords

existenceuniquenessglobal solutionharmonic mapheat flowcomplete manifold

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Parabolic equations and parabolic systems (35K99)

Related Items (5)

On the asymptotic expansions of the proper harmonic maps between balls in Bergman metrics ⋮ Beltrami equation for the harmonic diffeomorphisms between surfaces ⋮ The heat flow of harmonic maps from noncompact manifolds ⋮ Maximum principle and convergence of fundamental solutions for the Ricci flow ⋮ The harmonic map heat flow on conic manifolds

Cites Work

• Function theory on manifolds which possess a pole
• On the parabolic kernel of the Schrödinger operator
• New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself
• Deforming the metric on complete Riemannian manifolds
• Compact group actions and the topology of manifolds with non-positive curvature
• Constant mean curvature surface, harmonic maps, and universal Teichmüller space
• Finite-time blow-up of the heat flow of harmonic maps from surfaces
• Harmonic maps of manifolds with boundary
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
• Uniqueness of harmonic mappings and of solutions of elliptic equations on Riemannian manifolds
• The heat flows and harmonic maps of complete noncompact Riemannian manifolds
• The heat equation and harmonic maps of complete manifolds
• Uniqueness of \(L^ 1\) solutions for the Laplace equation and the heat equation on Riemannian manifolds
• Symmetric Green's Functions on Complete Manifolds
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• Differential equations on riemannian manifolds and their geometric applications
• Harmonic Diffeomorphisms Between Hadamard Manifolds
• Harmonic Mappings of Riemannian Manifolds
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