Results 11 to 20 of about 31,226 (268)
Univalent harmonic mappings [PDF]
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1996 Summary: A family of univalent harmonic functions is studied from the point of geometric function theory. This class consists of mappings of the open unit disk onto the entire complex plane except for two infinite slits along the real axis with a normalization at the origin.
Öztürk, Metin, Yamankaradeniz, Mümin
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Limits of $\alpha$-harmonic maps [PDF]
Journal of Differential Geometry, 2020 Critical points of approximations of the Dirichlet energy \`{a} la Sacks-Uhlenbeck are known to converge to harmonic maps in a suitable sense. However, we show that not every harmonic map can be approximated by critical points of such perturbed energies. Indeed, we prove that constant maps and the rotations of $S^2$ are the only critical points of $E_{\
Tobias Lamm +2 more
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2D Image Deformation Based on Guaranteed Feature Correspondence and Mesh Mapping
IEEE Access, 2019 Image deformation has ubiquitous usage in multimedia applications. It morphs one image into another through a seamless transition. Existing techniques either mainly focus on the correspondence mapping of interior features of the objects in two images ...
Yaqiong Liu +3 more
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Convergence of Harmonic Maps [PDF]
The Journal of Geometric Analysis, 2015 In this paper we prove a compactness theorem for a sequence of harmonic maps which are defined on a converging sequence of Riemannian manifolds.
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The generalized warped product and the biharmonic maps [PDF]
Arab Journal of Mathematical SciencesPurposeIn the first, we consider a smooth map and we calculate the bitension field of the map as a consequence, we treat the biharmonicity of the second projection.
Abderrazak Halimi, Seddik Ouakkas
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Harmonic Mappings of Spheres [PDF]
American Journal of Mathematics, 1972 This thesis is addressed to the following fundamental problem: given a homotopy class of maps between compact Riemannian manifolds N and M, is there a harmonic representative of that class? Eells and Sampson have given a general existence theorem for the case that M has no positive sectional curvatures [ESJ.\ud Otherwise, very little is known ...
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Harmonic Maps and Biharmonic Maps [PDF]
Symmetry, 2015 This is a survey on harmonic maps and biharmonic maps into (1) Riemannian manifolds of non-positive curvature, (2) compact Lie groups or (3) compact symmetric spaces, based mainly on my recent works on these topics.
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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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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 . Given a codimension two totally geodesic submanifold Σ ⊂ S m , we show that every nonconstant exponentially harmonic map ϕ : M → S m either meets or links Σ . If H 1 ( M , Z )
Sorin Dragomir, Francesco Esposito
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On the Generalized of p-harmonic Maps
International Electronic Journal of Geometry, 2022 In this paper, we extend the definition of p-harmonic and p-biharmonic maps between Riemannian manifolds. We present some new properties for the generalized stable p-harmonic maps.
Merdji, Bouchra, Cherif, Ahmed Mohammed
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