A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry

DOI10.1007/s12220-014-9519-9zbMath1345.58007OpenAlexW1999089799MaRDI QIDQ253807

Guofang Wang, Qun Chen, Juergen Jost

Publication date: 8 March 2016

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

Full work available at URL: https://doi.org/10.1007/s12220-014-9519-9

zbMATH Keywords

maximum principleharmonic map\(V\)-harmonic mapaffine harmonic mapsFinsler mapsHermitian harmonic mapsWeyl harmonic maps

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Second-order elliptic systems (35J47)

Related Items

Rigidity of self-shrinkers and translating solitons of mean curvature flows ⋮ Gradient estimates and Harnack inequalities of a nonlinear parabolic equation for the \(V\)-Laplacian ⋮ A volume decreasing theorem for V-harmonic maps and applications ⋮ Rigidity of symplectic translating solitons ⋮ Hamilton type gradient estimates for a general type of nonlinear parabolic equations on Riemannian manifolds ⋮ A SCHWARZ LEMMA FOR -HARMONIC MAPS AND THEIR APPLICATIONS ⋮ F-harmonic maps within bounded distance from quasi-isometric maps ⋮ Liouville theorems for ancient solutions to the \(V\)-harmonic map heat flows ⋮ Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension ⋮ The heat flow of $V$-harmonic maps from complete manifolds into regular balls ⋮ Liouville theorem for \(V\)-harmonic maps under non-negative \((m, V)\)-Ricci curvature for non-positive \(m\) ⋮ A MONOTONICITY FORMULA AND A LIOUVILLE TYPE THEOREM OF V-HARMONIC MAPS ⋮ Omori-Yau maximum principles, \(V\)-harmonic maps and their geometric applications ⋮ Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature ⋮ A Schwarz lemma and a Liouville theorem for generalized harmonic maps ⋮ Liouville type theorems of a nonlinear elliptic equation for the \(V\)-Laplacian ⋮ Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds ⋮ Unnamed Item ⋮ On \textit{VT}-harmonic maps ⋮ 𝑉-harmonic morphisms between Riemannian manifolds ⋮ Gradient estimates of a nonlinear elliptic equation for the \(V\)-Laplacian ⋮ Existence for \(VT\)-harmonic maps from compact manifolds with boundary ⋮ A Bernstein type result of translating solitons

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