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

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1007/s00229-018-1020-5

Fingerprint Dive into the research topics of 'Level set flow in 3D steady gradient Ricci solitons'. Together they form a unique fingerprint.

Cite this

@article{25c0efde6db142928859573da935f2ed,

title = "Level set flow in 3D steady gradient Ricci solitons",

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).",

author = "Chen, {Chih Wei} and Lee, {Kuo Wei}",

year = "2019",

month = jan,

day = "7",

doi = "10.1007/s00229-018-1020-5",

language = "English",

volume = "158",

pages = "223--234",

journal = "Manuscripta Mathematica",

issn = "0025-2611",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - Level set flow in 3D steady gradient Ricci solitons

AU - Chen, Chih Wei

AU - Lee, Kuo Wei

PY - 2019/1/7

Y1 - 2019/1/7

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=85044178789&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044178789&partnerID=8YFLogxK

U2 - 10.1007/s00229-018-1020-5

DO - 10.1007/s00229-018-1020-5

M3 - Article

AN - SCOPUS:85044178789

VL - 158

SP - 223

EP - 234

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

IS - 1-2

ER -