Results 1 to 10 of about 338 (66)
On the bi-harmonic maps with potential
Arab Journal of Mathematical Sciences, 2018 In this note we characterize the harmonic maps and biharmonic maps with potential, and we prove that every biharmonic map with potential on a complete manifold satisfying some conditions is a harmonic map with potential.
Ahmed Mohammed Cherif, Mustapha Djaa
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Existence and Stability of α−Harmonic Maps
Journal of Mathematics, 2022 In this paper, we first study the α−energy functional, Euler-Lagrange operator, and α-stress-energy tensor. Second, it is shown that the critical points of the α−energy functional are explicitly related to harmonic maps through conformal deformation.
Seyed Mehdi Kazemi Torbaghan +2 more
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On Harmonic Quasiconformal Quasi-Isometries
Journal of Inequalities and Applications, 2010 The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic ...
M. Mateljević, M. Vuorinen
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A family of examples of harmonic maps into the sphere with one point singularity
Examples and Counterexamples, 2023 The radial map u(x)=x‖x‖is a well-known example of a harmonic map into the spheres with a point singularity at x=0. In our previous paper (Misawa and Nakauchi, 2022) we give two examples of harmonic maps into the standard spheres of higher dimension with
Nobumitsu Nakauchi
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Equivariant T-harmonic Maps between Compact Riemannian Manifolds of Cohomogeneity One [PDF]
ریاضی و جامعهThe aim of this paper is to develop works of Urakawa [H. Urakawa, Equivariant harmonic maps between compact Riemannian manifolds of cohomogeneity $1$, Michigan Math. J., 40 no. 1 (1993) 27--51.
Mehran Aminian, Mehran Namjoo
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Mathematics, 2018 In this paper, λ -harmonic maps from a Finsler manifold to a Riemannian manifold are studied. Then, some properties of this kind of harmonic maps are presented and some examples are given.
Zahra Pirbodaghi +2 more
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Exponentially Harmonic Maps into Spheres
Axioms, 2018 We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifold M into a sphere S m ⊂ R m + 1 .
Sorin Dragomir, Francesco Esposito
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Harmonic Maps on Kenmotsu Manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.
Rehman Najma Abdul
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Arab Journal of Mathematical Sciences, 2016 In this paper, we prove that a map between Riemannian manifolds is an f-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying some conditions, and we investigate the properties of f-harmonic morphism in a ...
Nour Elhouda Djaa, Ahmed Mohamed Cherif
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Biharmonic maps on V-manifolds
International Journal of Mathematics and Mathematical Sciences, 2001 We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds.
Yuan-Jen Chiang, Hongan Sun
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