Geodesic
Conformal $\mathcal {F}$-harmonic maps for Finsler manifolds
Jintang Li1
1 School of Mathematical Sciences Xiamen University 361005 Xiamen, Fujian, China
Colloquium Mathematicum, Tome 134 (2014) no. 2, pp. 227-234.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

By introducing the ${\mathcal F}$-stress energy tensor of maps from an $n$-dimensional Finsler manifold to a Finsler manifold and assuming that $(n-2){\mathcal F(t)}'-2t{\mathcal F(t)}''\not =0$ for any $t\in [0, \infty )$, we prove that any conformal strongly ${\mathcal F}$-harmonic map must be homothetic. This assertion generalizes the results by He and Shen for harmonics map and by Ara for the Riemannian case.
DOI : 10.4064/cm134-2-6
Keywords: introducing mathcal stress energy tensor maps n dimensional finsler manifold finsler manifold assuming n mathcal mathcal infty prove conformal strongly mathcal harmonic map homothetic assertion generalizes results shen harmonics map ara riemannian

Jintang Li 1

1 School of Mathematical Sciences Xiamen University 361005 Xiamen, Fujian, China 
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Jintang Li. Conformal $\mathcal {F}$-harmonic maps for Finsler manifolds. Colloquium Mathematicum, Tome 134 (2014) no. 2, pp. 227-234. doi : 10.4064/cm134-2-6. http://geodesic.mathdoc.fr/articles/10.4064/cm134-2-6/

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