<p>We establish a convergence result for the mean curvature flow starting from a totally real submanifold which is “almost minimal" in a precise, quantitative sense. This extends, and makes effective, a result of Li (Math Z 271(1–2): 313–342, 2012 ) for the Lagrangian mean curvature flow.</p>

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A convergence result for mean curvature flow of totally real submanifolds

  • Tristan C. Collins,
  • Adam Jacob,
  • Yu-Shen Lin

摘要

We establish a convergence result for the mean curvature flow starting from a totally real submanifold which is “almost minimal" in a precise, quantitative sense. This extends, and makes effective, a result of Li (Math Z 271(1–2): 313–342, 2012 ) for the Lagrangian mean curvature flow.