Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON A CLASS OF COMPLETE NON-COMPACT GRADIENT YAMABE SOLITONS

  • Wu, Jia-Yong (Department of Mathematics Shanghai Maritime University)
  • Received : 2017.04.06
  • Accepted : 2018.01.12
  • Published : 2018.05.31
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Abstract

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.

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References

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