English

An necessary condition for isoperimetric inequality in warped product space

Differential Geometry 2016-10-10 v1

Abstract

In this note, we show that there is some counterexample for isoperimetric inequality if the condition (ϕ)2ϕ"ϕ1(\phi')^2-\phi"\phi\leq 1 does not hold in warped product space.

Keywords

Cite

@article{arxiv.1610.02223,
  title  = {An necessary condition for isoperimetric inequality in warped product space},
  author = {Li Chunhe and Wang Zhizhang},
  journal= {arXiv preprint arXiv:1610.02223},
  year   = {2016}
}