Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A GEOMETRIC INEQUALITY ON A COMPACT DOMAIN IN ℝn

  • Chai, Young Do (Department of Mathematics College of Natural Sciences Sungkyunkwan University) ;
  • Cho, Yong Seung (Division of Mathematical and Physical Science College of Natural Sciences Ewha Womans University)
  • Received : 2016.02.01
  • Accepted : 2017.08.10
  • Published : 2018.01.31
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Abstract

In this paper, we study some topological structure of a compact domain in ${\mathbb{R}}^n$ in terms of the curvature conditions and develop a geometric inequality involving the volume and the integral of mean curvatures over the boundary of the compact domain.

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References

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