Results 31 to 40 of about 2,667,437 (304)
Biharmonic Maps on f-Kenmotsu Manifolds with the Schouten–van Kampen Connection
Mathematics, 2023 The object of the present paper was to study biharmonic maps on f-Kenmotsu manifolds and f-Kenmotsu manifolds with the Schouten–van Kampen connection.
Hichem El hendi
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Rectifiable-Reifenberg and the Regularity of Stationary and Minimizing Harmonic Maps [PDF]
, 2015 In this paper we study the regularity of stationary and minimizing harmonic maps $f:B_2(p)\subseteq M\to N$ between Riemannian manifolds. If $S^k(f)\equiv\{x\in M: \text{ no tangent map at $x$ is }k+1\text{-symmetric}\}$ is $k^{th}$-stratum of the ...
A. Naber, Daniele Valtorta
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Duality and Some Links Between Riemannian Submersion, F-Harmonicity, and Cohomology
AxiomsFundamentally, duality gives two different points of view of looking at the same object. It appears in many subjects in mathematics (geometry, algebra, analysis, PDEs, Geometric Measure Theory, etc.) and in physics.
Bang-Yen Chen, Shihshu (Walter) Wei
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Some Remarks on Pohozaev-Type Identities
Bruno Pini Mathematical Analysis Seminar, 2018 In this note we present some Pohozaev-type identities that have been recently established in a joint work with Paul Laurain and Tristan Rivière in the framework of half-harmonic maps defined either on the real line or on the unit circle with values into ...
Francesca Da Lio
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Regularity and quantification for harmonic maps with free boundary [PDF]
, 2015 We prove a quantification result for harmonic maps with free boundary and finite energy from arbitrary Riemannian surfaces into the unit ball of ℝ n + 1 ${{\mathbb{R}}^{n+1}}$ . This generalizes results obtained by Da Lio [1] on the disk.
P. Laurain, R. Petrides
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Harmonic functions on mated-CRT maps [PDF]
Electronic Journal of Probability, 2018 A mated-CRT map is a random planar map obtained as a discretized mating of correlated continuum random trees. Mated-CRT maps provide a coarse-grained approximation of many other natural random planar map models (e.g., uniform triangulations and spanning ...
Ewain Gwynne, Jason Miller, S. Sheffield
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, 2017 Dirac-harmonic maps couple a second order harmonic map type system with a first nonlinear Dirac equation. We consider approximate Dirac-harmonic maps $$\{(\phi _n,\psi _n)\}$${(ϕn,ψn)}, that is, maps that satisfy the Dirac-harmonic system up to ...
J. Jost, Lei Liu, Miaomiao Zhu
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On the biharmonicity of product maps
International Journal of Mathematics and Mathematical Sciences, 2006 We introduce the warped product of maps defined between Riemannian warped product spaces and we give necessary and sufficient conditions for warped product maps to be (bi)harmonic.
Leonard Todjihounde
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The Adjunction Inequality for Weyl-Harmonic Maps
Complex Manifolds, 2020 In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical 𝒥-holomorphic curves in the ...
Ream Robert
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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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