Affine harmonic maps

DOI10.1524/anly.2009.1050zbMath1185.53072arXiv0902.2541OpenAlexW2014542196MaRDI QIDQ3398865

Fatma Muazzez Şimşir, Juergen Jost

Publication date: 29 September 2009

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2541

zbMATH Keywords

dually flataffine flat connectionaffine harmonic mapKähler affine manifolds

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Linear and affine connections (53B05)

Related Items (9)

A note on harmonic maps of statistical manifolds ⋮ Liouville theorems for ancient solutions to the \(V\)-harmonic map heat flows ⋮ The heat flow of $V$-harmonic maps from complete manifolds into regular balls ⋮ A MONOTONICITY FORMULA AND A LIOUVILLE TYPE THEOREM OF V-HARMONIC MAPS ⋮ Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds ⋮ On \textit{VT}-harmonic maps ⋮ 𝑉-harmonic morphisms between Riemannian manifolds ⋮ Existence for \(VT\)-harmonic maps from compact manifolds with boundary ⋮ A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry

Cites Work

• A generalization of Bieberbach's theorem
• An obstruction to the existence of affine structures
• On fundamental groups of complete affinely flat manifolds
• A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
• Gradient systems in view of information geometry
• On the existence of hermitian-harmonic maps from complete Hermitian to complete Riemannian manifolds
• The continuity or stability method for nonlinear elliptic and parabolic equations and systems
• Dually Flat Manifolds and Global Information Geometry

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