Results 1 to 10 of about 605 (56)

Unique continuation theorems for biharmonic maps. [PDF]

open access: yesBull 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

open access: yesComplex 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
doaj   +1 more source

A study on magnetic curves in trans-Sasakian manifolds

open access: yesAnalele 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

ELASTIC GRAPHS

open access: yesForum 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

Minimizing energy among homotopic maps

open access: yesInternational 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

Convolutions of harmonic right half-plane mappings

open access: yesOpen 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
doaj   +1 more source

Local solvability of a constrainedgradient system of total variation

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 8, Page 651-682, 2004., 2004
A 1‐harmonic map flow equation, a gradient system of total variation where values of unknowns are constrained in a compact manifold in ℝN, is formulated by the use of subdifferentials of a singular energy—the total variation. An abstract convergence result is established to show that solutions of approximate problem converge to a solution of the limit ...
Yoshikazu Giga   +2 more
wiley   +1 more source

F-biharmonic maps into general Riemannian manifolds

open access: yesOpen 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

Families of (1, 2)‐symplectic metrics on full flag manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 11, Page 651-664, 2002., 2002
We obtain new families of (1, 2)‐symplectic invariant metrics on the full complex flag manifolds F(n). For n ≥ 5, we characterize n − 3 different n‐dimensional families of (1, 2)‐symplectic invariant metrics on F(n). Each of these families corresponds to a different class of nonintegrable invariant almost complex structures on F(n).
Marlio Paredes
wiley   +1 more source

Harmonicity of horizontally conformal maps and spectrum of the Laplacian

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 12, Page 709-715, 2002., 2002
We discuss the harmonicity of horizontally conformal maps and their relations with the spectrum of the Laplacian. We prove that if Φ : M → N is a horizontally conformal map such that the tension field is divergence free, then Φ is harmonic. Furthermore, if N is noncompact, then Φ must be constant.
Gabjin Yun
wiley   +1 more source

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