Remarks on topology of stable translating solitons

Keita Kunikawa, Shunsuke Saito

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish
JournalGeometriae Dedicata
Volume202
Issue number1
DOIs
Publication statusPublished - 2019 Oct 1

Keywords

  • Stability
  • Translating solitons
  • Weighted harmonic forms

ASJC Scopus subject areas

  • Geometry and Topology

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