Results 21 to 30 of about 252,679 (281)
Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schroedinger maps on R^2 [PDF]
, 2009 We consider the Landau-Lifshitz equations of ferromagnetism (including the harmonic map heat-flow and Schroedinger flow as special cases) for degree m equivariant maps from R^2 to S^2.
A. Kosevich +21 more
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The Gauss map of surfaces in PSL˜2(R) [PDF]
, 2015 We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a left-invariant Riemannian metric having a 4-dimensional isometry group. This Gauss map is not related to the Lie group structure. We prove that the Gauss
Daniel, Benoit +2 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.
openaire +2 more sources
Dirac-harmonic maps from index theory [PDF]
, 2011 We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly interesting if the source manifold has dimension 1 or 2 modulo 8.
B. Ammann +27 more
core +4 more sources
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 ...
openaire +6 more sources
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
doaj +1 more source
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 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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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
doaj +1 more source
Arab Journal of Mathematical Sciences, 2016 In this paper, we prove that a map between Riemannian manifolds is an f-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying some conditions, and we investigate the properties of f-harmonic morphism in a ...
Nour Elhouda Djaa, Ahmed Mohamed Cherif
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