TY - JOUR
T1 - Level set flow in 3D steady gradient Ricci solitons
AU - Chen, Chih Wei
AU - Lee, Kuo Wei
N1 - Funding Information:
Acknowledgements The first author would like to thank Prof. Pengfei Guan for helpful discussions during the workshop for Besson’s 60th birthday. The second author is supported by the MOST research Grant 106-2115-M-018-002-MY2.
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).
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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 -