Results 11 to 20 of about 2,667,437 (304)
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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Scalar curvature and harmonic maps to $S^1$ [PDF]
Journal of differential geometry, 2019 For a harmonic map $u:M^3\to S^1$ on a closed, oriented $3$--manifold, we establish the identity $$2\pi \int_{\theta\in S^1}\chi(\Sigma_{\theta})\geq \frac{1}{2}\int_{\theta\in S^1}\int_{\Sigma_{\theta}}(|du|^{-2}|Hess(u)|^2+R_M)$$ relating the scalar ...
Daniel Stern
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Partial Regularity for Fractional Harmonic Maps into Spheres [PDF]
Archive for Rational Mechanics and Analysis, 2019 This article addresses the regularity issue for stationary or minimizing fractional harmonic maps into spheres of order s∈(0,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
V. Millot, Marc Pegon, A. Schikorra
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Reversible Harmonic Maps between Discrete Surfaces [PDF]
ACM Transactions on Graphics, 2018 Information transfer between triangle meshes is of great importance in computer graphics and geometry processing. To facilitate this process, a smooth and accurate map is typically required between the two meshes.
Danielle Ezuz, J. Solomon, M. Ben-Chen
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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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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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An Introduction to Higgs Bundles via Harmonic Maps [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 These notes are an extended version of lecture notes prepared for the 3-hour mini-course "An introduction to cyclic Higgs bundles and complex variation of Hodge structures" that the author gave at University of Illinois at Chicago.
Qiongling Li
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Harmonic maps and wild Teichmüller spaces [PDF]
Journal of Topology and Analysis (JTA), 2017 We use meromorphic quadratic differentials with higher order poles to parametrize the Teichmüller space of crowned hyperbolic surfaces. Such a surface is obtained on uniformizing a compact Riemann surface with marked points on its boundary components ...
Subhojoy Gupta
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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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