Results 1 to 10 of about 42,019 (263)
Exponentially Harmonic Maps into Spheres [PDF]
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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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.
Morteza Mirmohammad Rezaii +1 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
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On Finite Energy Solutions of 4-harmonic and ES-4-harmonic Maps [PDF]
Journal of Geometric Analysis, 2021 Volker Branding, Branding Volker
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On harmonic entire mappings [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021 In this paper, we investigate properties of harmonic entire mappings. Firstly, we give the characterizations of the order and the type for a harmonic entire mapping $f=h+\overline{g}$, respectively, and also consider the relationship between the order and the type of $f$, $h$, and $g$.
Hua Deng +3 more
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Rosette Harmonic Mappings [PDF]
Complex Analysis and Operator Theory, 2021 A harmonic mapping is a univalent harmonic function of one complex variable. We define a family of harmonic mappings on the unit disk whose images are rotationally symmetric rosettes with $n$ cusps or n nodes, where $n \ge 3$. These mappings are analogous to the $n$-cusped hypocycloid, but are modified by Gauss hypergeometric factors, both in the ...
Jane McDougall, Lauren Stierman
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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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Communications in Information and Systems, 2003 We develop two different techniques to study volume mapping problem in Computer Graphics and Medical Imaging fields. The first one is to find a harmonic map from a 3 manifold to a 3D solid sphere and the second is a sphere carving algorithm which calculates the simplicial decomposition of volume adapted to surfaces.
Wang , Yalin +2 more
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Monopoles and harmonic maps [PDF]
Journal of Mathematical Physics, 1999 Recently Jarvis has proved a correspondence between SU(N) monopoles and rational maps of the Riemann sphere into flag manifolds. Furthermore, he has outlined a construction to obtain the monopole fields from the rational map. In this paper we examine this construction in some detail and provide explicit examples for spherically symmetric SU(N ...
Ioannidou, Theodora, Sutcliffe, Paul M.
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Pacific Journal of Mathematics, 1989 A construction is given whereby a Riemannian manifold induces a Riemannian metric on the total space of a large class of fibre bundles over it. Using this metric on the appropriate bundles, necessary and sufficient conditions are given for the Gauss map and the spherical Gauss map to be harmonic.
Jensen, Gary R., Rigoli, Marco
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