Solitons in geometric evolution equations

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We will discuss geometric properties and classification of special solutions to geometric evolution equations called solitons. Our focus will be on the Ricci flow and the Yamabe flow solitons. These are very special solutions to considered geometric evolution equations that move by diffeomorphisms and homotheties. Solitons are very important solutions to our equations because very often they arise as singularity models. Therefore classifying the solitons helps us understand and classify encountered singularities in geometric flows.

Original languageEnglish (US)
Title of host publicationInvited Lectures
EditorsSun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
PublisherKYUNG MOON SA Co. Ltd.
Number of pages16
ISBN (Electronic)9788961058056
StatePublished - 2014
Event2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of
Duration: Aug 13 2014Aug 21 2014

Publication series

NameProceeding of the International Congress of Mathematicans, ICM 2014


Conference2014 International Congress of Mathematicans, ICM 2014
Country/TerritoryKorea, Republic of

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


  • Ricci flow
  • Solitons
  • Yamabe flow


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