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math.DG2014
Quantitative stratification and higher regularity for biharmonic maps
Christine Breiner, Tobias Lamm
In this paper we prove quantitative regularity results for stationary and minimizing extrinsic biharmonic maps. As an application, we determine sharp, dimension independent b…
math.DG2014
Logarithmically spiraling helicoids
Christine Breiner, Stephen J. Kleene
We construct helicoid-like embedded minimal disks with axes along self-similar curves modeled on logarithmic spirals. The surfaces have a self-similarity inherited from the curves…