Bull. Korean Math. Soc. 2018; 55(3): 851-863
Online first article March 13, 2018 Printed May 31, 2018
https://doi.org/10.4134/BKMS.b170306
Copyright © The Korean Mathematical Society.
Jia-Yong Wu
Shanghai Maritime University
We derive lower bounds of the scalar curvature on complete non-compact gradient Yamabe solitons under some integral curvature conditions. Based on this, we prove that potential functions of Yamabe solitons have at most quadratic growth for distance function. We also obtain a finite topological type property on complete shrinking gradient Yamabe solitons under suitable scalar curvature assumptions.
Keywords: Yamabe flow, Yamabe soliton, self-similar solution, finite topological type
MSC numbers: Primary 53C21; Secondary 53C44, 55Q52
2024; 61(2): 511-517
2016; 53(4): 1113-1122
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd