Results 1 to 10 of about 664 (62)
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. +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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A closed form for unitons [PDF]
, 1995 . Unitons, i.e. harmonic spheres in a unitary group, correspond to ‘unitonbundles’, i.e. holomorphic bundles over the compactified tangent space to the complexline with certain triviality and other properties.
Christopher Kumar Anand
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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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Area contraction for harmonic automorphisms of the disk [PDF]
, 2009 A harmonic self-homeomorphism of a disk does not increase the area of any concentric disk.Comment: 7 ...
Koh, Ngin-Tee, Kovalev, Leonid V.
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Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds [PDF]
, 2014 We study 4-dimensional Riemannian manifolds equipped with a minimal and conformal foliation $\mathcal F$ of codimension 2. We prove that the two adapted almost Hermitian structures $J_1$ and $J_2$ are both cosymplectic if and only if $\mathcal F$ is ...
Gudmundsson, Sigmundur
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Some recent progress of biharmonic submanifolds [PDF]
, 2015 In this note, we give a brief survey on some recent developments of biharmonic submanifolds. After reviewing some recent progress on Chen’s biharmonic conjecture, the Generalized Chen’s conjecture on biharmonic submanifolds of non-positively curved ...
Ye-lin Ou
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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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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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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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