On a class of complete non-compact gradient Yamabe solitons

Abstract

We derive lower bounds on the scalar curvature of complete non-compact gradient Yamabe solitons under some integral curvature conditions. Based on this, we prove that the corresponding potential functions have at most quadratic growth in distance. We also obtain a finite topological type property on complete shrinking gradient Yamabe solitons under suitable scalar curvature assumptions.

11 pages, to appear in Bull. Korean Math. Soc

References in corpus (1)

• The classification of locally conformally flat Yamabe solitons

Cited by in corpus (3)

• On Warped Product Gradient Yamabe Soliton
• On complete Yamabe soliton
• Properties of Complete Noncompact Warped Product Gradient Yamabe Solitons