46 citations · 83 across the 7 of their papers we have counts for
Showing 2014 · math.DGShow all
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math.DG2014
Minimal laminations with prescribed convex curvature blowup
Stephen J. Kleene
We construct minimal laminations with prescribed singularities on a line segment using perturbation techniques and PDE methods. In addition to the singular set, the rate of curvatu…
math.DG2014★ 1 cited
Non-compact families of complete, properly immersed minimal immersions with fixed topology via desingularization
Stephen J. Kleene, Niels Martin Moller
For fixed large genus, we construct families of complete immersed minimal surfaces in R3 with four ends and dihedral symmetries. The families exist for all large genus and at an ap…
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…