Conformal ℱ-harmonic maps for Finsler manifolds

• Autorzy: Jintang Li
• Języki publikacji: EN

Abstrakty

EN

By introducing the ℱ-stress energy tensor of maps from an n-dimensional Finsler manifold to a Finsler manifold and assuming that (n-2)ℱ(t)'- 2tℱ(t)'' ≠ 0 for any t ∈ [0,∞), we prove that any conformal strongly 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.

Kategorie tematyczne

• 53B40: Finsler spaces and generalizations (areal metrics)
• 58E20: Harmonic maps , etc.
• 53C60: Finsler spaces and generalizations (areal metrics)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 134
• Numer: 2
• Strony: 227-234

Daty

wydano

2014

Twórcy

autor

Jintang Li

• School of Mathematical Sciences, Xiamen University, 361005 Xiamen, Fujian, China

Identyfikatory

DOI

10.4064/cm134-2-6