Results 21 to 30 of about 31,226 (268)
Analysis, 2009 We introduce a class of maps from an affine flat into a Riemannian manifold that solve an elliptic system defined by the natural second order elliptic operator of the affine structure and the nonlinear Riemann geometry of the target. These maps are called affine harmonic.
Şimşir, Fatma Muazzez, Jost J.
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Local solvability of a constrainedgradient system of total variation
Abstract and Applied Analysis, 2004 A 1-harmonic map flow equation, a gradient system of total variation where values of unknowns are constrained in a compact manifold in ℝN, is formulated by the use of subdifferentials of a singular energythe total variation.
Yoshikazu Giga +2 more
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Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms
Open Mathematics, 2022 Extending our previous work we construct weakly holomorphic Hecke eigenforms whose period polynomials correspond to elements in a basis consisting of odd and even Hecke eigenpolynomials induced by only cusp forms.
Choi SoYoung, Kim Chang Heon
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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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Harmonic morphisms and subharmonic functions
International Journal of Mathematics and Mathematical Sciences, 2005 Let M be a complete Riemannian manifold and N a complete noncompact Riemannian manifold. Let ϕ:M→N be a surjective harmonic morphism. We prove that if N admits a subharmonic function with finite Dirichlet integral which is not harmonic, and ϕ has finite
Gundon Choi, Gabjin Yun
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Some results of the f-biharmonic maps and applications
Arab Journal of Mathematical Sciences, 2018 In this paper, we give some properties of the f-biharmonic maps, in the particular case represented by conformal maps between equidimensional manifolds.
Djelloul Djebbouri, Seddik Ouakkas
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Graph-type biharmonic surfaces in R3
Selecciones Matemáticas, 2020 In this work, we study biharmonic surfaces that are parameterized by biharmonic coordinate functions. We study a class of biharmonic surfaces called graph-type biharmonic surfaces. Also, we define a class of surfaces associated to two harmonic functions (
Carlos M. C. Riveros +2 more
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On a system of multi-component Ginzburg-Landau vortices
Advances in Nonlinear Analysis, 2023 We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
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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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Journal of Inequalities and Applications, 2010 The use of twistor methods in the study of Jacobi fields has proved quite fruitful, leading to a series of results. L. Lemaire and J. C. Wood proved several properties of Jacobi fields along harmonic maps from the two-sphere to the complex projective ...
Bruno Ascenso Simões
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