Results 1 to 10 of about 605 (44)

Unique continuation theorems for biharmonic maps. [PDF]

Bull Lond Math Soc, 2019
Abstract We prove several unique continuation results for biharmonic maps between Riemannian manifolds.
Branding V, Oniciuc C.
europepmc   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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.
core   +3 more sources

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
core   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Minimizing energy among homotopic maps

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 30, Page 1599-1611, 2004., 2004
We study an energy minimizing sequence {ui} in a fixed homotopy class of smooth maps from a 3‐manifold. After deriving an approximate monotonicity property for {ui} and a continuous version of the Luckhaus lemma (Simon, 1996) on S2, we show that, passing to a subsequence, {ui} converges strongly in W1,2 topology wherever there is small energy ...
Pengzi Miao
wiley   +1 more source

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
doaj   +1 more source