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 | |
| Publication status | Published - 2019 Jan 7 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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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 journal › Article
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
VL - 158
SP - 223
EP - 234
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
SN - 0025-2611
IS - 1-2
ER -