Results 1 to 10 of about 55 (54)

Some results and examples of the biharmonic maps with potential

Arab Journal of Mathematical Sciences, 2018
In this paper, we will study the class of biharmonic maps with potential, in the particular case represented by conformal maps between equidimensional manifolds. Some examples are constructed in particular cases (Euclidean space and sphere).
Abdelkader Zagane, Seddik Ouakkas
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Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

Complex Manifolds, 2022
We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method.
Dorfmeister Josef F., Inoguchi Jun-ichi, Kobayashi Shimpei   +2 more
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A study on magnetic curves in trans-Sasakian manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we focused on biharmonic, f-harmonic and f-biharmonic magnetic curves in trans-Sasakian manifolds. Moreover, we obtain necessary and su cient conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic ...
Bozdağ Şerife Nur
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ELASTIC GRAPHS

Forum of Mathematics, Sigma, 2019
An elastic graph is a graph with an elasticity associated to each edge. It may be viewed as a network made out of ideal rubber bands. If the rubber bands are stretched on a target space there is an elastic energy. We characterize when a homotopy class of
DYLAN P. THURSTON
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The generalized warped product and the biharmonic maps [PDF]

Arab Journal of Mathematical Sciences
PurposeIn the first, we consider a smooth map and we calculate the bitension field of the map as a consequence, we treat the biharmonicity of the second projection.
Abderrazak Halimi, Seddik Ouakkas
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Convolutions of harmonic right half-plane mappings

Open Mathematics, 2016
We first prove that the convolution of a normalized right half-plane mapping with another subclass of normalized right half-plane mappings with the dilatation −z(a+z)/(1+az)$ - z(a + z)/(1 + az)$ is CHD (convex in the horizontal direction) provided a=1$a
Li YingChun, Liu ZhiHong
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F-biharmonic maps into general Riemannian manifolds

Open Mathematics, 2019
Let ψ:(M, g) → (N, h) be a map between Riemannian manifolds (M, g) and (N, h).
Mi Rong
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A study of the inextensible flows of tube-like surfaces associated with focal curves in Galilean 3-space G₃

, 2017
In this paper, we study inextensible flows of focal curves associated with tube-like surfaces in Galilean 3-space G₃. We give some characterizations for curvature and torsion of focal curves associated with tube-like surfaces in Galilean 3-space G₃ ...
SOROUR, Adel H.
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Почти ермитови структури, туисторни пространства и хармонични изображения

, 2022
[Davidov Johann; Давидов Йохан]In the first part of the paper, we review the notion of an almost-complex structure and some topological obstructions for existence of such a structure.
Davidov, Johann
core  

III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space

Annals of the West University of Timisoara: Mathematics and Computer Science
Some work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
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