Level set flow in 3D steady gradient Ricci solitons

Chih Wei Chen, Kuo Wei Lee

Research output: Contribution to journalArticle

Abstract

Given a nontrivial 3-dimensional steady gradient Ricci soliton, if the scalar curvature has decay order between - b and - a for some a∈ (0 , 1] , b≥ a, then the umbilical ratio of the level set of the potential function lies in the class O(r6a-8a2b)∩O(r2b-4a).

Original languageEnglish
Pages (from-to)223-234
Number of pages12
JournalManuscripta Mathematica
Volume158
Issue number1-2
DOIs
Publication statusPublished - 2019 Jan 7

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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