Results 21 to 30 of about 1,172 (64)

A generalisation of the Hopf Construction and harmonic morphisms into $\s^2$

, 2009
In this paper we construct a new family of harmonic morphisms $\varphi:V^5\to\s^2$, where $V^5$ is a 5-dimensional open manifold contained in an ellipsoidal hypersurface of $\c^4=\r^8$.
Montaldo, S., Ratto, A.
core   +1 more source

Biharmonic functions on spheres and hyperbolic spaces

, 2018
We construct new explicit proper r-harmonic functions on the standard n-dimensional sphere S^n and hyperbolic space H^n for any r\ge 1 and n\ge ...
Gudmundsson, Sigmundur
core   +1 more source

III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space

Annals of the West University of Timisoara: Mathematics and Computer Science
Some work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
doaj   +1 more source

A note on Biharmonic functions on the Thurston geometries

, 2017
We construct new explicit proper biharmonic functions on the $3$-dimensional Thurston geometries $\Sol$, $\Nil$, $\SL2$, $H^2\times\rn$ and $S^2\times\rn$
Gudmundsson, Sigmundur
core   +1 more source

A Note on Regularity for the n-dimensional H-System assuming logarithmic higher Integrability [PDF]

, 2010
We prove Holder continuity for solutions to the n-dimensional H-System assuming logarithmic higher integrability of the solution.
arxiv   +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  

Biharmonic properties and conformal changes [PDF]

arXiv, 2004
We construct a new class of biharmonic maps, which are the critical points for the bienergy functional, by deforming conformally the codomain metric of harmonic Riemannian submersions such that they become nonharmonic but biharmonic.
arxiv  

A short survey on biharmonic maps between Riemannian manifolds [PDF]

arXiv, 2005
In this short survey we report on the theory of biharmonic maps between Riemannian manifolds.
arxiv  

New Examples of Biharmonic Submanifolds in $CP^n$ and $S^{2n+1}$ [PDF]

arXiv, 2007
We construct biharmonic real hypersurfaces and Lagrangian submanifolds of Clifford torus type in $CP^n$ via the Hopf fibration; and get new examples of biharmonic submanifolds in $S^{2n+1}$ as byproducts .
arxiv  

On the Gauss Map with Vanishing Biharmonic stress-energy tensor [PDF]

arXiv, 2007
We study the biharmonic stress-energy tensor $S_2$ of Gauss map. Adding few assumptions, the Gauss map with vanishing $S_2$ would be harmonic.
arxiv