A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons

Details A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons

2011-04-11

arxiv.org/abs/1104.1889v1

Mathematics

Differential Geometry

Scientific paper

We show that the scalar curvature of a steady gradient Ricci soliton
satisfying that the ratio between the square norm of the Ricci tensor and the
square of the scalar curvature is bounded by one half, is boundend from below
by the hyperbolic secant of one half the distance function from a fixed point.

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