Conformal F-harmonic maps for Finsler manifolds

2014 ◽  
Vol 134 (2) ◽  
pp. 227-234
Author(s):  
Jintang Li
Keyword(s):  
Harmonic Maps ◽  
Finsler Manifolds

Exponentially harmonic maps between Finsler manifolds

2017 ◽  
Vol 157 (1-2) ◽  
pp. 101-119 ◽  
Author(s):  
Yuan-Jen Chiang
Keyword(s):  
Harmonic Maps ◽  
Finsler Manifolds

SOME RESULTS ON HARMONIC MAPS FOR FINSLER MANIFOLDS

2005 ◽  
Vol 16 (09) ◽  
pp. 1017-1031 ◽  
Author(s):  
QUN HE ◽  
YI-BING SHEN
Keyword(s):  
Riemannian Manifold ◽  
Harmonic Maps ◽  
Harmonic Map ◽  
Energy Functional ◽  
Second Variation ◽  
Finsler Manifolds ◽  
Totally Geodesic ◽  
The Stability ◽  
The Second Variation ◽  
Weitzenböck Formula

By simplifying the first and the second variation formulas of the energy functional and generalizing the Weitzenböck formula, we study the stability and the rigidity of harmonic maps between Finsler manifolds. It is proved that any nondegenerate harmonic map from a compact Einstein Riemannian manifold with nonnegative scalar curvature to a Berwald manifold with nonpositive flag curvature is totally geodesic and there is no nondegenerate stable harmonic map from a Riemannian unit sphere Sn (n > 2) to any Finsler manifold.

scholarly journals Harmonic maps from complex Finsler manifolds

2008 ◽  
Vol 236 (2) ◽  
pp. 341-356 ◽  
Author(s):  
Jingwei Han ◽  
Yibing Shen
Keyword(s):  
Harmonic Maps ◽  
Finsler Manifolds

scholarly journals The Energy Density Gap of Harmonic Maps between Finsler Manifolds

ISRN Geometry ◽  
2011 ◽  
Vol 2011 ◽  
pp. 1-12
Author(s):  
Jingwei Han ◽  
Yao-yong Yu ◽  
Jing Yu
Keyword(s):  
Energy Density ◽  
Density Function ◽  
Harmonic Maps ◽  
Finsler Manifold ◽  
Rigidity Theorem ◽  
Moving Frame ◽  
Finsler Manifolds ◽  
Variation Formula ◽  
Smooth Maps

We study the energy density function of nondegenerate smooth maps with vanishing tension field between two real Finsler manifolds. Firstly, we get a variation formula of energy density function by using moving frame. With this formula, we obtain a rigidity theorem of nondegenerate map with vanishing tension field from the Finsler manifold to the Berwald manifold.

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