Doubly periodic self-translating surfaces for the mean curvature flow

Details Doubly periodic self-translating surfaces for the mean curvature flow Doubly periodic self-translating surfaces for the mean curvature flow

2012-04-22

arxiv.org/abs/1204.4921v1

Mathematics

Differential Geometry

7 pages

Scientific paper

We construct new examples of self-translating surfaces for the mean curvature
flow by desingularizing a periodic configuration with infinitely many grim
reaper cylinders. These surfaces show that self-translating solutions do not
have polynomial volume growth rate in general.

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