Level set flow in 3D steady gradient Ricci solitons

Chih Wei Chen; Kuo Wei Lee

doi:10.1007/s00229-018-1020-5

Level set flow in 3D steady gradient Ricci solitons

Chih Wei Chen, Kuo Wei Lee

Department of Mathematics

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	223-234
Number of pages	12
Journal	Manuscripta Mathematica
Volume	158
Issue number	1-2
DOIs	https://doi.org/10.1007/s00229-018-1020-5
Publication status	Published - 2019 Jan 7

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All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

Chen, C. W., & Lee, K. W. (2019). Level set flow in 3D steady gradient Ricci solitons. Manuscripta Mathematica, 158(1-2), 223-234. https://doi.org/10.1007/s00229-018-1020-5

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Access to Document

10.1007/s00229-018-1020-5