English

Remarks on topology of stable translating solitons

Differential Geometry 2018-10-09 v2

Abstract

We show that any complete ff-stable translating soliton MM admits no codimension one cycle which does not disconnect MM. As a corollary, it follows that any two dimensional complete ff-stable translating soliton has genus zero.

Keywords

Cite

@article{arxiv.1804.05463,
  title  = {Remarks on topology of stable translating solitons},
  author = {Keita Kunikawa and Shunsuke Saito},
  journal= {arXiv preprint arXiv:1804.05463},
  year   = {2018}
}

Comments

8 pages. Minor correction