Volker Branding

collaborators

3 papers

math.DG2025

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 $B^{m}$ , $m \geq 5$ , to Euclidean spheres. To the best of the authors knowledge this is the fi…

math.DG2025

On the stability of the generalized equator map

Volker Branding, Anna Siffert

The energy, the $p$ -energy ( $p \in R$ with $p \geq 2$ ) and the extrinsic $k$ -energy ( $k \in N$ ) for maps between Riemannian manifolds are central objects in the geomet…

math.DG2025

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 $m \in N$ with $m \geq 3$ there exists a triharmonic map from $\mathbb{R…