Conformal ℱ-harmonic maps for Finsler manifolds

Jintang Li

Colloquium Mathematicae (2014)

  • Volume: 134, Issue: 2, page 227-234
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Jintang Li. "Conformal ℱ-harmonic maps for Finsler manifolds." Colloquium Mathematicae 134.2 (2014): 227-234. <http://eudml.org/doc/284278>.

@article{JintangLi2014,
abstract = {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.},
author = {Jintang Li},
journal = {Colloquium Mathematicae},
keywords = {Finsler manifolds; -harmonic maps},
language = {eng},
number = {2},
pages = {227-234},
title = {Conformal ℱ-harmonic maps for Finsler manifolds},
url = {http://eudml.org/doc/284278},
volume = {134},
year = {2014},
}

TY - JOUR
AU - Jintang Li
TI - Conformal ℱ-harmonic maps for Finsler manifolds
JO - Colloquium Mathematicae
PY - 2014
VL - 134
IS - 2
SP - 227
EP - 234
AB - 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.
LA - eng
KW - Finsler manifolds; -harmonic maps
UR - http://eudml.org/doc/284278
ER -

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