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

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Ricci Soliton
Scalar Curvature
Potential Function
Level Set
Decay
Gradient
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Chen, Chih Wei ; Lee, Kuo-Wei. / Level set flow in 3D steady gradient Ricci solitons. In: Manuscripta Mathematica. 2019 ; Vol. 158, No. 1-2. pp. 223-234.
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Level set flow in 3D steady gradient Ricci solitons. / Chen, Chih Wei; Lee, Kuo-Wei.

In: Manuscripta Mathematica, Vol. 158, No. 1-2, 07.01.2019, p. 223-234.

Research output: Contribution to journalArticle

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