Results 31 to 40 of about 677 (61)

Construction of harmonic maps between pseudo-Riemannian spheres and hyperbolic spaces

open access: yes, 1990
Defined here is an orthogonal multiplication for vector spaces with indefinite nondegenerate scalar product. This is then used, via the Hopf construction, to obtain harmonic maps between pseudo-Riemannian spheres and hyperbolic spaces.
J. Konderak
semanticscholar   +1 more source

Bernstein Theorems for Space-like Graphs with Parallel Mean Curvature and Controlled Growth

open access: yes, 2007
In this paper, we obtain an Ecker-Huisken type result for entire graphs with parallel mean curvature.Comment: 12 ...
ALias   +17 more
core   +2 more sources

A note on Biharmonic functions on the Thurston geometries

open access: yes, 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

Biharmonic functions on spheres and hyperbolic spaces

open access: yes, 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

Some results and examples of the biharmonic maps with potential

open access: yesArab 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  

Harmonic morphisms from five-dimensional Lie groups

open access: yes, 2016
We consider 5-dimensional Lie groups with left-invariant Riemannian metrics. For such groups we give a partial classification of left-invariant conformal foliations with minimal leaves of codimension 2.
Gudmundsson, Sigmundur
core   +1 more source

Harmonic morphisms from four dimensional Lie groups

open access: yes, 2014
We consider four dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension two.
Gudmundsson, Sigmundur, Svensson, Martin
core   +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

A fractional version of Rivière's GL(n)-gauge. [PDF]

open access: yesAnn Mat Pura Appl, 2022
Da Lio F, Mazowiecka K, Schikorra A.
europepmc   +1 more source

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