Volker Branding

collaborators

4 papers

math.DG2026

A framework for producing harmonic maps

Volker Branding, Anna Siffert

We present a general framework for producing families of harmonic maps from the unit ball into the Euclidean sphere starting from a fixed harmonic map. In particular, our analysis…

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…