Results 1 to 10 of about 677 (61)

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

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
semanticscholar   +1 more source

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
semanticscholar   +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

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

A Harmonic Endomorphism in a Semi-Riemannian Context

, 2016
On the total space of the cotangent bundle T ∗M of a Riemannian manifold (M,h) we consider the natural Riemann extension ḡ with respect to the Levi-Civita connection of h.
C. Bejan, Şemsi Eken
semanticscholar   +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

Harmonic maps and singularities of period mappings

, 2015
We use simple methods from harmonic maps to investigate singularities of period mappings at infinity. More precisely, we derive a harmonic map version of Schmid’s nilpotent orbit theorem.
J. Jost, Yihu Yang, K. Zuo
semanticscholar   +1 more source