From the 1 of 4 linked papers with an AI index.
4 papers
A framework for producing harmonic maps
Volker Branding, Anna Siffert
The paper develops a general method to generate families of harmonic maps from the unit ball to the Euclidean sphere, extending previous constructions and showing how these maps ca…
Stable proper biharmonic maps in Euclidean spheres
Volker Branding, Anna Siffert
We construct an explicit family of stable proper weak biharmonic maps from the unit ball , , to Euclidean spheres. To the best of the authors knowledge this is the fi…
On the stability of the generalized equator map
Volker Branding, Anna Siffert
The energy, the -energy ( with ) and the extrinsic -energy () for maps between Riemannian manifolds are central objects in the geomet…
A family of triharmonic maps to spheres in all dimensions greater than two
Volker Branding, Anna Siffert
We present a construction method for triharmonic maps to spheres. In particular, we show that for any with there exists a triharmonic map from $\mathbb{R…