<p>By carrying out refined curvature estimates, we prove better rigidity theorems of complete noncompact ancient solutions to the mean curvature flow in higher codimension under various Gauss image restrictions.</p>

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Curvature estimates of ancient solutions to the mean curvature flow of higher codimension with convex Gauss images

  • Hongbing Qiu,
  • Yuanlong Xin

摘要

By carrying out refined curvature estimates, we prove better rigidity theorems of complete noncompact ancient solutions to the mean curvature flow in higher codimension under various Gauss image restrictions.