On weakly harmonic maps from Finsler to riemannian manifolds
Heiko von der Mosel, Sven Winklmann (2009)
Annales de l'I.H.P. Analyse non linéaire
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Heiko von der Mosel, Sven Winklmann (2009)
Annales de l'I.H.P. Analyse non linéaire
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Jintang Li (2008)
Colloquium Mathematicae
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Let ϕ :(M,F)→ (N,h) be a harmonic map from a Finsler manifold to any Riemannian manifold. We establish Bochner's formula for the energy density of ϕ and maximum principle on Finsler manifolds, from which we deduce some properties of harmonic maps ϕ.
Jintang Li (2014)
Colloquium Mathematicae
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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.
Čomić, Irena (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Čomić, Irena (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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Vincze, Cs.
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Bidabad, Behroz (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Kim, Chang-Wan (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Szilasi, József, Vincze, Csaba (2000)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Esmaeil Peyghan, Akbar Tayebi, Behzad Najafi (2012)
Annales Polonici Mathematici
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We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only if it is Berwaldian. Then we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped...