Results 1 to 10 of about 214,152 (125)
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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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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On Finite Energy Solutions of 4-harmonic and ES-4-harmonic Maps [PDF]
Journal of Geometric Analysis, 2021 Volker Branding
exaly +2 more sources
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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Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative [PDF]
, 2015 Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space.
Santana, Alexandre J. +1 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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A construction of conformal-harmonic maps [PDF]
, 2011 Conformal harmonic maps from a 4-dimensional conformal manifold to a Riemannian manifold are maps satisfying a certain conformally invariant fourth order equation.
Biquard, Olivier, Madani, Farid
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Some examples of exponentially harmonic maps [PDF]
, 2002 The aim of this paper is to study some examples of exponentially harmonic maps. We study such maps firstly on flat euclidean and Minkowski spaces and secondly on Friedmann-Lema\^ itre universes.
A D Kanfon +15 more
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