Results 11 to 20 of about 74 (31)
Minimizing energy among homotopic maps
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
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
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
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
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On p-harmonic self-maps of spheres. [PDF]
Branding V, Siffert A.
europepmc +1 more source
On Finite Energy Solutions of 4-harmonic and ES-4-harmonic Maps. [PDF]
Branding V.
europepmc +1 more source
Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]
Branding V +3 more
europepmc +1 more source
On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces. [PDF]
Branding V.
europepmc +1 more source
A geometric theory of harmonic and semi-conformal maps
Kock Anders
doaj +1 more source
Anti-invariant Riemannian submersions from almost Hermitian manifolds
Ṣahin Bayram
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