Partial regularity results up to the boundary for harmonic maps into a Finsler manifold
Atsushi Tachikawa (2009)
Annales de l'I.H.P. Analyse non linéaire
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Atsushi Tachikawa (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.
Jintang Li (2010)
Annales Polonici Mathematici
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We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if Mⁿ is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying , then there is no non-degenerate stable harmonic map between M and any compact Finsler manifold.
Kim, Chang-Wan (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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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, Csaba (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Vincze, Cs.
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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...
Aurel Bejancu, Hani Reda Farran (2011)
Publications de l'Institut Mathématique
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