FLOW BY MEAN CURVATURE OF CONVEX SURFACES INTO SPHERES

@inproceedings{HUISKEN1984FLOWBM,
  title={FLOW BY MEAN CURVATURE OF CONVEX SURFACES INTO SPHERES},
  author={GERHARD HUISKEN},
  year={1984}
}
  • GERHARD HUISKEN
  • Published 1984
The motion of surfaces by their mean curvature has been studied by Brakke [1] from the viewpoint of geometric measure theory. Other authors investigated the corresponding nonparametric problem [2], [5], [9]. A reason for this interest is that evolutionary surfaces of prescribed mean curvature model the behavior of grain boundaries in annealing pure metal. In this paper we take a more classical point of view: Consider a compact, uniformly convex w-dimensional surface M = Mo without boundary… CONTINUE READING
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