On a class of complete non-compact gradient Yamabe solitons

Details On a class of complete non-compact gradient Yamabe solitons On a class of complete non-compact gradient Yamabe solitons

2011-09-05

arxiv.org/abs/1109.0861v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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.

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