Results 21 to 30 of about 2,451,324 (261)
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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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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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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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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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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