Results 11 to 20 of about 74 (31)

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

On the stability of harmonic maps under the homogeneous Ricci flow

open access: yesComplex Manifolds, 2018
In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow.We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not ...
Prado Rafaela F. do, Grama Lino
doaj   +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

f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Here we have studied f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms and obtained a necessary and sufficient condition on a submanifold of generalized (k, µ)-space-form to be f-biharmonic and bi-f-harmonic submanifold.
Hui Shyamal Kumar   +2 more
doaj   +1 more source

On p-harmonic self-maps of spheres. [PDF]

open access: yesCalc Var Partial Differ Equ, 2023
Branding V, Siffert A.
europepmc   +1 more source

Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]

open access: yesAnn Mat Pura Appl, 2023
Branding V   +3 more
europepmc   +1 more source

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