Dylan Cant

English · Français · 中文

A curvature flow and applications to an isoperimetric inequality

Dylan Cant

2016年10月

摘要：

Long time existence and convergence to a circle is proved for radial graph solutions to a mean curvature type curve flow in warped product surfaces (under a weak assumption on the warp potential of the surface). This curvature flow preserves the area enclosed by the evolving curve, and this fact is used to prove a general isoperimetric inequality applicable to radial graphs in warped product surfaces under weak assumptions on the warp potential.

链接：

• PDF
• arXiv:1610.05844
• BibTeX

  @misc{isoperimetric-inequality,
    author        = {Dylan Cant},
    title         = {A curvature flow and applications to an isoperimetric inequality},
    year          = {2016},
    eprint        = {1610.05844},
    archivePrefix = {arXiv},
    primaryClass  = {math.DG},
  }